74156467968 has 432 divisors, whose sum is σ = 247377242112. Its totient is φ = 21150720000.

The previous prime is 74156467961. The next prime is 74156467993. The reversal of 74156467968 is 86976465147.

It is a happy number.

74156467968 is a `hidden beast` number, since 7 + 4 + 1 + 564 + 6 + 7 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74156467961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29068293 + ... + 29070843.

Almost surely, 2^74156467968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74156467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123688621056).

74156467968 is an abundant number, since it is smaller than the sum of its proper divisors (173220774144).

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

74156467968 is a wasteful number, since it uses less digits than its factorization.

74156467968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2635 counting only the distinct ones).

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

The spelling of 74156467968 in words is "seventy-four billion, one hundred fifty-six million, four hundred sixty-seven thousand, nine hundred sixty-eight".