80924724308736 has 864 divisors, whose sum is σ = 302249399961600. Its totient is φ = 20205684817920.

The previous prime is 80924724308699. The next prime is 80924724308737. The reversal of 80924724308736 is 63780342742908.

80924724308736 is a `hidden beast` number, since 8 + 0 + 9 + 24 + 72 + 430 + 87 + 36 = 666.

It is a super-2 number, since 2×80924724308736² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (80924724308737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1178132185 + ... + 1178200871.

It is an arithmetic number, because the mean of its divisors is an integer number (349825694400).

Almost surely, 2^{80924724308736} 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 80924724308736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151124699980800).

80924724308736 is an abundant number, since it is smaller than the sum of its proper divisors (221324675652864).

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

80924724308736 is a wasteful number, since it uses less digits than its factorization.

80924724308736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68985 (or 68968 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 80924724308736 in words is "eighty trillion, nine hundred twenty-four billion, seven hundred twenty-four million, three hundred eight thousand, seven hundred thirty-six".