99504080432640 has 3840 divisors, whose sum is σ = 423756237864960. Its totient is φ = 22152656977920.

The previous prime is 99504080432621. The next prime is 99504080432683. The reversal of 99504080432640 is 4623408040599.

99504080432640 is a `hidden beast` number, since 9 + 9 + 50 + 40 + 80 + 432 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 715856693691 + ... + 715856693829.

It is an arithmetic number, because the mean of its divisors is an integer number (110353186944).

Almost surely, 2^{99504080432640} is an apocalyptic number.

99504080432640 is a gapful number since it is divisible by the number (90) 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 99504080432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211878118932480).

99504080432640 is an abundant number, since it is smaller than the sum of its proper divisors (324252157432320).

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

99504080432640 is a wasteful number, since it uses less digits than its factorization.

99504080432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 99504080432640 in words is "ninety-nine trillion, five hundred four billion, eighty million, four hundred thirty-two thousand, six hundred forty".