99736261632 has 440 divisors, whose sum is σ = 358333736640. Its totient is φ = 26993295360.

The previous prime is 99736261571. The next prime is 99736261649. The reversal of 99736261632 is 23616263799.

99736261632 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 626 + 1 + 6 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4408992) is a multiple of the sum of its prime divisors (9072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11027032 + ... + 11036072.

It is an arithmetic number, because the mean of its divisors is an integer number (814394856).

Almost surely, 2^99736261632 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 99736261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179166868320).

99736261632 is an abundant number, since it is smaller than the sum of its proper divisors (258597475008).

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

99736261632 is a wasteful number, since it uses less digits than its factorization.

99736261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9072 counting only the distinct ones).

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

The spelling of 99736261632 in words is "ninety-nine billion, seven hundred thirty-six million, two hundred sixty-one thousand, six hundred thirty-two".