74464526400 has 672 divisors, whose sum is σ = 282708096000. Its totient is φ = 16970342400.

The previous prime is 74464526399. The next prime is 74464526431. The reversal of 74464526400 is 462546447.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199636614 + ... + 199636986.

Almost surely, 2^74464526400 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 74464526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141354048000).

74464526400 is an abundant number, since it is smaller than the sum of its proper divisors (208243569600).

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

74464526400 is a wasteful number, since it uses less digits than its factorization.

74464526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 74464526400 in words is "seventy-four billion, four hundred sixty-four million, five hundred twenty-six thousand, four hundred".