74334886920 has 256 divisors, whose sum is σ = 283687948800. Its totient is φ = 16960389120.

The previous prime is 74334886907. The next prime is 74334886921. The reversal of 74334886920 is 2968843347.

74334886920 is a `hidden beast` number, since 7 + 433 + 48 + 86 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (74334886921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4353600 + ... + 4370640.

It is an arithmetic number, because the mean of its divisors is an integer number (1108156050).

Almost surely, 2^74334886920 is an apocalyptic number.

74334886920 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 74334886920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141843974400).

74334886920 is an abundant number, since it is smaller than the sum of its proper divisors (209353061880).

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

74334886920 is a wasteful number, since it uses less digits than its factorization.

74334886920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17645 (or 17635 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 74334886920 in words is "seventy-four billion, three hundred thirty-four million, eight hundred eighty-six thousand, nine hundred twenty".