745766756352 has 140 divisors (see below), whose sum is σ = 2227959262386. Its totient is φ = 248588697600.

The previous prime is 745766756351. The next prime is 745766756387. The reversal of 745766756352 is 253657667547.

745766756352 is a `hidden beast` number, since 7 + 4 + 5 + 7 + 6 + 67 + 563 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 544431476736 + 201335279616 = 737856^2 + 448704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 745766756352.

It is not an unprimeable number, because it can be changed into a prime (745766756351) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 101602 + ... + 1225502.

Almost surely, 2^745766756352 is an apocalyptic number.

745766756352 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 745766756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113979631193).

745766756352 is an abundant number, since it is smaller than the sum of its proper divisors (1482192506034).

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

745766756352 is an equidigital number, since it uses as much as digits as its factorization.

745766756352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123939 (or 1123906 counting only the distinct ones).

The product of its digits is 222264000, while the sum is 63.

The spelling of 745766756352 in words is "seven hundred forty-five billion, seven hundred sixty-six million, seven hundred fifty-six thousand, three hundred fifty-two".