74928667125312 has 1568 divisors, whose sum is σ = 301021492423680. Its totient is φ = 17862559395840.

The previous prime is 74928667125289. The next prime is 74928667125343. The reversal of 74928667125312 is 21352176682947.

It is a happy number.

74928667125312 is a `hidden beast` number, since 7 + 4 + 9 + 2 + 86 + 6 + 7 + 12 + 531 + 2 = 666.

It is a super-2 number, since 2×74928667125312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 74928667125312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8359770943 + ... + 8359779905.

Almost surely, 2^{74928667125312} is an apocalyptic number.

74928667125312 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 74928667125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150510746211840).

74928667125312 is an abundant number, since it is smaller than the sum of its proper divisors (226092825298368).

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

74928667125312 is a wasteful number, since it uses less digits than its factorization.

74928667125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203 (or 9178 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 74928667125312 in words is "seventy-four trillion, nine hundred twenty-eight billion, six hundred sixty-seven million, one hundred twenty-five thousand, three hundred twelve".