79420126968 has 256 divisors, whose sum is σ = 271827225600. Its totient is φ = 20922416640.

The previous prime is 79420126957. The next prime is 79420126979. The reversal of 79420126968 is 86962102497.

79420126968 is a `hidden beast` number, since 7 + 9 + 420 + 126 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (79420126957) and next prime (79420126979).

It is a super-3 number, since 3×79420126968³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23841063 + ... + 23844393.

It is an arithmetic number, because the mean of its divisors is an integer number (1061825100).

Almost surely, 2^79420126968 is an apocalyptic number.

79420126968 is a gapful number since it is divisible by the number (78) 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 79420126968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135913612800).

79420126968 is an abundant number, since it is smaller than the sum of its proper divisors (192407098632).

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

79420126968 is a wasteful number, since it uses less digits than its factorization.

79420126968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 79420126968 in words is "seventy-nine billion, four hundred twenty million, one hundred twenty-six thousand, nine hundred sixty-eight".