74960696160 has 384 divisors, whose sum is σ = 300788812800. Its totient is φ = 17079828480.

The previous prime is 74960696159. The next prime is 74960696177. The reversal of 74960696160 is 6169606947.

74960696160 is a `hidden beast` number, since 7 + 496 + 0 + 6 + 96 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 74960696097 and 74960696106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10005696 + ... + 10013184.

It is an arithmetic number, because the mean of its divisors is an integer number (783304200).

Almost surely, 2^74960696160 is an apocalyptic number.

74960696160 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 74960696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150394406400).

74960696160 is an abundant number, since it is smaller than the sum of its proper divisors (225828116640).

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

74960696160 is a wasteful number, since it uses less digits than its factorization.

74960696160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 74960696160 in words is "seventy-four billion, nine hundred sixty million, six hundred ninety-six thousand, one hundred sixty".