76069916160 has 640 divisors, whose sum is σ = 288401541120. Its totient is φ = 16742744064.

The previous prime is 76069916137. The next prime is 76069916179. The reversal of 76069916160 is 6161996067.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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, 332182926 + ... + 332183154.

It is an arithmetic number, because the mean of its divisors is an integer number (450627408).

Almost surely, 2^76069916160 is an apocalyptic number.

76069916160 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 76069916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144200770560).

76069916160 is an abundant number, since it is smaller than the sum of its proper divisors (212331624960).

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

76069916160 is a wasteful number, since it uses less digits than its factorization.

76069916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 76069916160 in words is "seventy-six billion, sixty-nine million, nine hundred sixteen thousand, one hundred sixty".