79681462560 has 960 divisors, whose sum is σ = 343539947520. Its totient is φ = 17000202240.

The previous prime is 79681462541. The next prime is 79681462561. The reversal of 79681462560 is 6526418697.

79681462560 is a `hidden beast` number, since 7 + 9 + 6 + 8 + 1 + 4 + 625 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79681462497 and 79681462506.

It is not an unprimeable number, because it can be changed into a prime (79681462561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81556792 + ... + 81557768.

It is an arithmetic number, because the mean of its divisors is an integer number (357854112).

Almost surely, 2^79681462560 is an apocalyptic number.

79681462560 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 79681462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171769973760).

79681462560 is an abundant number, since it is smaller than the sum of its proper divisors (263858484960).

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

79681462560 is a wasteful number, since it uses less digits than its factorization.

79681462560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 79681462560 in words is "seventy-nine billion, six hundred eighty-one million, four hundred sixty-two thousand, five hundred sixty".