74308993920 has 1536 divisors, whose sum is σ = 334886400000. Its totient is φ = 15467397120.

The previous prime is 74308993909. The next prime is 74308993933. The reversal of 74308993920 is 2939980347.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 498718006 + ... + 498718154.

It is an arithmetic number, because the mean of its divisors is an integer number (218025000).

Almost surely, 2^74308993920 is an apocalyptic number.

74308993920 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 74308993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200000).

74308993920 is an abundant number, since it is smaller than the sum of its proper divisors (260577406080).

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

74308993920 is a wasteful number, since it uses less digits than its factorization.

74308993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 74308993920 in words is "seventy-four billion, three hundred eight million, nine hundred ninety-three thousand, nine hundred twenty".