74457292800 has 672 divisors, whose sum is σ = 280833454080. Its totient is φ = 17229414400.

The previous prime is 74457292757. The next prime is 74457292813. The reversal of 74457292800 is 829275447.

It is a super-2 number, since 2×74457292800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74457292800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155442961 + ... + 155443439.

Almost surely, 2^74457292800 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 74457292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140416727040).

74457292800 is an abundant number, since it is smaller than the sum of its proper divisors (206376161280).

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

74457292800 is a wasteful number, since it uses less digits than its factorization.

74457292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 74457292800 in words is "seventy-four billion, four hundred fifty-seven million, two hundred ninety-two thousand, eight hundred".