79460617420800 has 2640 divisors, whose sum is σ = 368525822873472. Its totient is φ = 16511297126400.

The previous prime is 79460617420799. The next prime is 79460617420837. The reversal of 79460617420800 is 802471606497.

It is a Jordan-Polya number, since it can be written as 12! ⋅ (4!)³ ⋅ 3! ⋅ 2!.

79460617420800 is a `hidden beast` number, since 7 + 9 + 4 + 606 + 1 + 7 + 4 + 20 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7223692492795 + ... + 7223692492805.

Almost surely, 2^{79460617420800} is an apocalyptic number.

79460617420800 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 79460617420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184262911436736).

79460617420800 is an abundant number, since it is smaller than the sum of its proper divisors (289065205452672).

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

79460617420800 is an frugal number, since it uses more digits than its factorization.

79460617420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 79460617420800 in words is "seventy-nine trillion, four hundred sixty billion, six hundred seventeen million, four hundred twenty thousand, eight hundred".