99729330624 has 1008 divisors, whose sum is σ = 381294461184. Its totient is φ = 25291284480.

The previous prime is 99729330601. The next prime is 99729330643. The reversal of 99729330624 is 42603392799.

99729330624 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 9 + 3 + 3 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×99729330624² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 882560392 + ... + 882560504.

Almost surely, 2^99729330624 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 99729330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190647230592).

99729330624 is an abundant number, since it is smaller than the sum of its proper divisors (281565130560).

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

99729330624 is a wasteful number, since it uses less digits than its factorization.

99729330624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 99729330624 in words is "ninety-nine billion, seven hundred twenty-nine million, three hundred thirty thousand, six hundred twenty-four".