99763413564672 has 2304 divisors, whose sum is σ = 375432396595200. Its totient is φ = 25679780904960.

The previous prime is 99763413564643. The next prime is 99763413564679. The reversal of 99763413564672 is 27646531436799.

99763413564672 is a `hidden beast` number, since 9 + 9 + 76 + 3 + 41 + 3 + 56 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a self number, because there is not a number n which added to its sum of digits gives 99763413564672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99763413564679) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 112472844613 + ... + 112472845499.

It is an arithmetic number, because the mean of its divisors is an integer number (162948088800).

Almost surely, 2^{99763413564672} 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 99763413564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187716198297600).

99763413564672 is an abundant number, since it is smaller than the sum of its proper divisors (275668983030528).

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

99763413564672 is a wasteful number, since it uses less digits than its factorization.

99763413564672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1101 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 72.

The spelling of 99763413564672 in words is "ninety-nine trillion, seven hundred sixty-three billion, four hundred thirteen million, five hundred sixty-four thousand, six hundred seventy-two".