79801856640 has 1024 divisors, whose sum is σ = 329951232000. Its totient is φ = 18037555200.

The previous prime is 79801856593. The next prime is 79801856653. The reversal of 79801856640 is 4665810897.

79801856640 is a `hidden beast` number, since 79 + 8 + 0 + 1 + 8 + 566 + 4 + 0 = 666.

It is a super-2 number, since 2×79801856640² (a number of 23 digits) contains 22 as substring.

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

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, 170881687 + ... + 170882153.

It is an arithmetic number, because the mean of its divisors is an integer number (322218000).

Almost surely, 2^79801856640 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 79801856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164975616000).

79801856640 is an abundant number, since it is smaller than the sum of its proper divisors (250149375360).

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

79801856640 is a wasteful number, since it uses less digits than its factorization.

79801856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 79801856640 in words is "seventy-nine billion, eight hundred one million, eight hundred fifty-six thousand, six hundred forty".