79388147658240 has 1280 divisors, whose sum is σ = 316390821120000. Its totient is φ = 18750386995200.

The previous prime is 79388147658229. The next prime is 79388147658299. The reversal of 79388147658240 is 4285674188397.

It is a happy number.

79388147658240 is a `hidden beast` number, since 7 + 9 + 3 + 8 + 81 + 476 + 58 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 3371177986 + ... + 3371201534.

It is an arithmetic number, because the mean of its divisors is an integer number (247180329000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅79388147658240 = 158776295316480, but 3⋅79388147658240 = 238164442974720 is not.

Almost surely, 2^{79388147658240} 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 79388147658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158195410560000).

79388147658240 is an abundant number, since it is smaller than the sum of its proper divisors (237002673461760).

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

79388147658240 is a wasteful number, since it uses less digits than its factorization.

79388147658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23768 (or 23746 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 79388147658240 in words is "seventy-nine trillion, three hundred eighty-eight billion, one hundred forty-seven million, six hundred fifty-eight thousand, two hundred forty".