76414416960 has 448 divisors, whose sum is σ = 284171526144. Its totient is φ = 17036697600.

The previous prime is 76414416937. The next prime is 76414416989. The reversal of 76414416960 is 6961441467.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 53698809 + ... + 53700231.

Almost surely, 2^76414416960 is an apocalyptic number.

76414416960 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 76414416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142085763072).

76414416960 is an abundant number, since it is smaller than the sum of its proper divisors (207757109184).

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

76414416960 is a wasteful number, since it uses less digits than its factorization.

76414416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 76414416960 in words is "seventy-six billion, four hundred fourteen million, four hundred sixteen thousand, nine hundred sixty".