99733662720 has 352 divisors, whose sum is σ = 355277975040. Its totient is φ = 26532495360.

The previous prime is 99733662683. The next prime is 99733662767. The reversal of 99733662720 is 2726633799.

99733662720 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 3 + 6 + 627 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102711835 + ... + 102712805.

Almost surely, 2^99733662720 is an apocalyptic number.

99733662720 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 99733662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177638987520).

99733662720 is an abundant number, since it is smaller than the sum of its proper divisors (255544312320).

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

99733662720 is a wasteful number, since it uses less digits than its factorization.

99733662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 99733662720 in words is "ninety-nine billion, seven hundred thirty-three million, six hundred sixty-two thousand, seven hundred twenty".