74957793120 has 384 divisors, whose sum is σ = 305956224000. Its totient is φ = 17132871168.

The previous prime is 74957793107. The next prime is 74957793143. The reversal of 74957793120 is 2139775947.

74957793120 is a `hidden beast` number, since 7 + 49 + 577 + 9 + 3 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1456467 + ... + 1507053.

It is an arithmetic number, because the mean of its divisors is an integer number (796761000).

Almost surely, 2^74957793120 is an apocalyptic number.

74957793120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74957793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152978112000).

74957793120 is an abundant number, since it is smaller than the sum of its proper divisors (230998430880).

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

74957793120 is a wasteful number, since it uses less digits than its factorization.

74957793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50632 (or 50604 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 74957793120 in words is "seventy-four billion, nine hundred fifty-seven million, seven hundred ninety-three thousand, one hundred twenty".