74128965120 has 960 divisors, whose sum is σ = 327244769280. Its totient is φ = 15097135104.

The previous prime is 74128965037. The next prime is 74128965151. The reversal of 74128965120 is 2156982147.

74128965120 is a `hidden beast` number, since 7 + 4 + 128 + 9 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×74128965120² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52092729 + ... + 52094151.

It is an arithmetic number, because the mean of its divisors is an integer number (340879968).

Almost surely, 2^74128965120 is an apocalyptic number.

74128965120 is a gapful number since it is divisible by the number (70) 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 74128965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163622384640).

74128965120 is an abundant number, since it is smaller than the sum of its proper divisors (253115804160).

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

74128965120 is a wasteful number, since it uses less digits than its factorization.

74128965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 74128965120 in words is "seventy-four billion, one hundred twenty-eight million, nine hundred sixty-five thousand, one hundred twenty".