79990002247680 has 1536 divisors, whose sum is σ = 340857306316800. Its totient is φ = 17410054422528.

The previous prime is 79990002247609. The next prime is 79990002247703. The reversal of 79990002247680 is 8674220009997.

79990002247680 is a `hidden beast` number, since 79 + 9 + 90 + 0 + 0 + 2 + 2 + 476 + 8 + 0 = 666.

79990002247680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3365579157 + ... + 3365602923.

It is an arithmetic number, because the mean of its divisors is an integer number (221912308800).

Almost surely, 2^{79990002247680} is an apocalyptic number.

79990002247680 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 79990002247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170428653158400).

79990002247680 is an abundant number, since it is smaller than the sum of its proper divisors (260867304069120).

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

79990002247680 is a wasteful number, since it uses less digits than its factorization.

79990002247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23894 (or 23868 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 79990002247680 in words is "seventy-nine trillion, nine hundred ninety billion, two million, two hundred forty-seven thousand, six hundred eighty".