74883346560 has 448 divisors, whose sum is σ = 292824668160. Its totient is φ = 18152294400.

The previous prime is 74883346541. The next prime is 74883346639. The reversal of 74883346560 is 6564338847.

74883346560 is a `hidden beast` number, since 7 + 4 + 8 + 8 + 33 + 46 + 560 = 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 = 74883346497 and 74883346506.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5124865 + ... + 5139455.

Almost surely, 2^74883346560 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 74883346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146412334080).

74883346560 is an abundant number, since it is smaller than the sum of its proper divisors (217941321600).

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

74883346560 is a wasteful number, since it uses less digits than its factorization.

74883346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14639 (or 14612 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 74883346560 in words is "seventy-four billion, eight hundred eighty-three million, three hundred forty-six thousand, five hundred sixty".