74957425920 has 720 divisors, whose sum is σ = 304149162240. Its totient is φ = 17473978368.

The previous prime is 74957425847. The next prime is 74957425927. The reversal of 74957425920 is 2952475947.

74957425920 is a `hidden beast` number, since 7 + 4 + 9 + 5 + 7 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74957425927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25607497 + ... + 25610423.

It is an arithmetic number, because the mean of its divisors is an integer number (422429392).

Almost surely, 2^74957425920 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 74957425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152074581120).

74957425920 is an abundant number, since it is smaller than the sum of its proper divisors (229191736320).

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

74957425920 is a wasteful number, since it uses less digits than its factorization.

74957425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 74957425920 in words is "seventy-four billion, nine hundred fifty-seven million, four hundred twenty-five thousand, nine hundred twenty".