99930744576 has 432 divisors, whose sum is σ = 332954600160. Its totient is φ = 29680680960.

The previous prime is 99930744539. The next prime is 99930744577. The reversal of 99930744576 is 67544703999.

99930744576 is a `hidden beast` number, since 9 + 99 + 30 + 7 + 445 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99930744577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23450286 + ... + 23454546.

Almost surely, 2^99930744576 is an apocalyptic number.

99930744576 is a gapful number since it is divisible by the number (96) 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 99930744576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166477300080).

99930744576 is an abundant number, since it is smaller than the sum of its proper divisors (233023855584).

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

99930744576 is a wasteful number, since it uses less digits than its factorization.

99930744576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 99930744576 in words is "ninety-nine billion, nine hundred thirty million, seven hundred forty-four thousand, five hundred seventy-six".