79643658240 has 672 divisors, whose sum is σ = 293901229440. Its totient is φ = 20694859776.

The previous prime is 79643658233. The next prime is 79643658293. The reversal of 79643658240 is 4285634697.

79643658240 is a `hidden beast` number, since 7 + 96 + 436 + 5 + 82 + 40 = 666.

It is a super-2 number, since 2×79643658240² (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 350853007 + ... + 350853233.

It is an arithmetic number, because the mean of its divisors is an integer number (437353020).

Almost surely, 2^79643658240 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 79643658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146950614720).

79643658240 is an abundant number, since it is smaller than the sum of its proper divisors (214257571200).

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

79643658240 is an equidigital number, since it uses as much as digits as its factorization.

79643658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 79643658240 in words is "seventy-nine billion, six hundred forty-three million, six hundred fifty-eight thousand, two hundred forty".