80974627596720 has 960 divisors, whose sum is σ = 339079586267520. Its totient is φ = 17630433976320.

The previous prime is 80974627596661. The next prime is 80974627596721. The reversal of 80974627596720 is 2769572647908.

80974627596720 is a `hidden beast` number, since 8 + 0 + 9 + 7 + 4 + 6 + 2 + 7 + 596 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (80974627596721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125392102 + ... + 126036218.

It is an arithmetic number, because the mean of its divisors is an integer number (353207902362).

Almost surely, 2^{80974627596720} is an apocalyptic number.

80974627596720 is a gapful number since it is divisible by the number (80) 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 80974627596720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169539793133760).

80974627596720 is an abundant number, since it is smaller than the sum of its proper divisors (258104958670800).

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

80974627596720 is a wasteful number, since it uses less digits than its factorization.

80974627596720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644211 (or 644188 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 80974627596720 in words is "eighty trillion, nine hundred seventy-four billion, six hundred twenty-seven million, five hundred ninety-six thousand, seven hundred twenty".