99768614400 has 1440 divisors, whose sum is σ = 455092205568. Its totient is φ = 20304691200.

The previous prime is 99768614381. The next prime is 99768614423. The reversal of 99768614400 is 441686799.

99768614400 is a `hidden beast` number, since 99 + 76 + 86 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 324979047 + ... + 324979353.

Almost surely, 2^99768614400 is an apocalyptic number.

99768614400 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 99768614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227546102784).

99768614400 is an abundant number, since it is smaller than the sum of its proper divisors (355323591168).

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

99768614400 is a wasteful number, since it uses less digits than its factorization.

99768614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 99768614400 in words is "ninety-nine billion, seven hundred sixty-eight million, six hundred fourteen thousand, four hundred".