76315514016720 has 640 divisors, whose sum is σ = 274421313054720. Its totient is φ = 17349672960000.

The previous prime is 76315514016697. The next prime is 76315514016793. The reversal of 76315514016720 is 2761041551367.

It is a super-3 number, since 3×76315514016720³ (a number of 43 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76315514016720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7948699920 + ... + 7948709520.

It is an arithmetic number, because the mean of its divisors is an integer number (428783301648).

Almost surely, 2^{76315514016720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76315514016720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137210656527360).

76315514016720 is an abundant number, since it is smaller than the sum of its proper divisors (198105799038000).

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

76315514016720 is a wasteful number, since it uses less digits than its factorization.

76315514016720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235 (or 11229 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 76315514016720 in words is "seventy-six trillion, three hundred fifteen billion, five hundred fourteen million, sixteen thousand, seven hundred twenty".