742653370368 has 1120 divisors, whose sum is σ = 2797482441600. Its totient is φ = 195084288000.

The previous prime is 742653370363. The next prime is 742653370441. The reversal of 742653370368 is 863073356247.

742653370368 is a `hidden beast` number, since 7 + 4 + 2 + 6 + 533 + 70 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (742653370363) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2958778243 + ... + 2958778493.

It is an arithmetic number, because the mean of its divisors is an integer number (2497752180).

Almost surely, 2^742653370368 is an apocalyptic number.

742653370368 is a gapful number since it is divisible by the number (78) 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 742653370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398741220800).

742653370368 is an abundant number, since it is smaller than the sum of its proper divisors (2054829071232).

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

742653370368 is an equidigital number, since it uses as much as digits as its factorization.

742653370368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 742653370368 in words is "seven hundred forty-two billion, six hundred fifty-three million, three hundred seventy thousand, three hundred sixty-eight".