74064801600 has 336 divisors, whose sum is σ = 274034097600. Its totient is φ = 19455068160.

The previous prime is 74064801571. The next prime is 74064801631. The reversal of 74064801600 is 610846047.

74064801600 is a `hidden beast` number, since 7 + 4 + 0 + 6 + 48 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2881606 + ... + 2907194.

Almost surely, 2^74064801600 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 74064801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137017048800).

74064801600 is an abundant number, since it is smaller than the sum of its proper divisors (199969296000).

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

74064801600 is a wasteful number, since it uses less digits than its factorization.

74064801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25687 (or 25666 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 74064801600 in words is "seventy-four billion, sixty-four million, eight hundred one thousand, six hundred".