74883791630400 has 672 divisors, whose sum is σ = 252087620800128. Its totient is φ = 19456406323200.

The previous prime is 74883791630383. The next prime is 74883791630447. The reversal of 74883791630400 is 403619738847.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10129009104 + ... + 10129016496.

Almost surely, 2^{74883791630400} 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 74883791630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126043810400064).

74883791630400 is an abundant number, since it is smaller than the sum of its proper divisors (177203829169728).

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

74883791630400 is a wasteful number, since it uses less digits than its factorization.

74883791630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 74883791630400 in words is "seventy-four trillion, eight hundred eighty-three billion, seven hundred ninety-one million, six hundred thirty thousand, four hundred".