79653760521984 has 864 divisors, whose sum is σ = 267305916870720. Its totient is φ = 23361701806080.

The previous prime is 79653760521967. The next prime is 79653760522057. The reversal of 79653760521984 is 48912506735697.

79653760521984 is a `hidden beast` number, since 7 + 9 + 6 + 5 + 3 + 7 + 6 + 0 + 521 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 5972382964 + ... + 5972396300.

It is an arithmetic number, because the mean of its divisors is an integer number (309381848230).

It is a 2-persistent number, because it is pandigital, and so is 2⋅79653760521984 = 159307521043968, but 3⋅79653760521984 = 238961281565952 is not.

Almost surely, 2^{79653760521984} is an apocalyptic number.

79653760521984 is a gapful number since it is divisible by the number (74) 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 79653760521984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133652958435360).

79653760521984 is an abundant number, since it is smaller than the sum of its proper divisors (187652156348736).

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

79653760521984 is a wasteful number, since it uses less digits than its factorization.

79653760521984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13614 (or 13583 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 79653760521984 in words is "seventy-nine trillion, six hundred fifty-three billion, seven hundred sixty million, five hundred twenty-one thousand, nine hundred eighty-four".