79136628480 has 576 divisors, whose sum is σ = 345644651520. Its totient is φ = 16696295424.

The previous prime is 79136628479. The next prime is 79136628497. The reversal of 79136628480 is 8482663197.

79136628480 is a `hidden beast` number, since 7 + 9 + 1 + 3 + 6 + 628 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×79136628480² (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 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, 3132379 + ... + 3157541.

It is an arithmetic number, because the mean of its divisors is an integer number (600077520).

Almost surely, 2^79136628480 is an apocalyptic number.

79136628480 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 79136628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172822325760).

79136628480 is an abundant number, since it is smaller than the sum of its proper divisors (266508023040).

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

79136628480 is a wasteful number, since it uses less digits than its factorization.

79136628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25213 (or 25193 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 79136628480 in words is "seventy-nine billion, one hundred thirty-six million, six hundred twenty-eight thousand, four hundred eighty".