9900741312 has 672 divisors, whose sum is σ = 38546227200. Its totient is φ = 2351462400.

The previous prime is 9900741307. The next prime is 9900741341. The reversal of 9900741312 is 2131470099.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26123139 + ... + 26123517.

Almost surely, 2^9900741312 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 9900741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273113600).

9900741312 is an abundant number, since it is smaller than the sum of its proper divisors (28645485888).

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

9900741312 is a wasteful number, since it uses less digits than its factorization.

9900741312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9900741312 is about 99502.4688738928. The cubic root of 9900741312 is about 2147.2827625213.

The spelling of 9900741312 in words is "nine billion, nine hundred million, seven hundred forty-one thousand, three hundred twelve".