74246376960 has 480 divisors, whose sum is σ = 298299336192. Its totient is φ = 16714874880.

The previous prime is 74246376923. The next prime is 74246376979. The reversal of 74246376960 is 6967364247.

74246376960 is a `hidden beast` number, since 7 + 424 + 63 + 76 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 74246376897 and 74246376906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10802325 + ... + 10809195.

Almost surely, 2^74246376960 is an apocalyptic number.

74246376960 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 74246376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149149668096).

74246376960 is an abundant number, since it is smaller than the sum of its proper divisors (224052959232).

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

74246376960 is a wasteful number, since it uses less digits than its factorization.

74246376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 74246376960 in words is "seventy-four billion, two hundred forty-six million, three hundred seventy-six thousand, nine hundred sixty".