74920550400 has 672 divisors, whose sum is σ = 291803510880. Its totient is φ = 18779996160.

The previous prime is 74920550399. The next prime is 74920550413. The reversal of 74920550400 is 405502947.

74920550400 is a `hidden beast` number, since 7 + 49 + 20 + 550 + 40 + 0 = 666.

It is a super-2 number, since 2×74920550400² (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94002802 + ... + 94003598.

It is an arithmetic number, because the mean of its divisors is an integer number (434231415).

Almost surely, 2^74920550400 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 74920550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145901755440).

74920550400 is an abundant number, since it is smaller than the sum of its proper divisors (216882960480).

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

74920550400 is a wasteful number, since it uses less digits than its factorization.

74920550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 74920550400 in words is "seventy-four billion, nine hundred twenty million, five hundred fifty thousand, four hundred".