745079740757352 has 3456 divisors, whose sum is σ = 2950678712217600. Its totient is φ = 174402087552000.

The previous prime is 745079740757351. The next prime is 745079740757353. The reversal of 745079740757352 is 253757047970547.

It is a happy number.

745079740757352 is a `hidden beast` number, since 7 + 4 + 5 + 0 + 7 + 9 + 7 + 40 + 7 + 573 + 5 + 2 = 666.

745079740757352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (745079740757351) and next prime (745079740757353).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (745079740757351) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2395754793277 + ... + 2395754793587.

It is an arithmetic number, because the mean of its divisors is an integer number (853784349600).

Almost surely, 2^{745079740757352} is an apocalyptic number.

745079740757352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745079740757352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475339356108800).

745079740757352 is an abundant number, since it is smaller than the sum of its proper divisors (2205598971460248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

745079740757352 is a wasteful number, since it uses less digits than its factorization.

745079740757352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1815156000, while the sum is 72.

The spelling of 745079740757352 in words is "seven hundred forty-five trillion, seventy-nine billion, seven hundred forty million, seven hundred fifty-seven thousand, three hundred fifty-two".