74687166120 has 512 divisors, whose sum is σ = 281571840000. Its totient is φ = 15789634560.

The previous prime is 74687165977. The next prime is 74687166157. The reversal of 74687166120 is 2166178647.

It is a self number, because there is not a number n which added to its sum of digits gives 74687166120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33626610 + ... + 33628830.

It is an arithmetic number, because the mean of its divisors is an integer number (549945000).

Almost surely, 2^74687166120 is an apocalyptic number.

74687166120 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 74687166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140785920000).

74687166120 is an abundant number, since it is smaller than the sum of its proper divisors (206884673880).

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

74687166120 is a wasteful number, since it uses less digits than its factorization.

74687166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 74687166120 in words is "seventy-four billion, six hundred eighty-seven million, one hundred sixty-six thousand, one hundred twenty".