9902610432 has 648 divisors, whose sum is σ = 35889546420. Its totient is φ = 2607022080.

The previous prime is 9902610409. The next prime is 9902610439. The reversal of 9902610432 is 2340162099.

9902610432 is a `hidden beast` number, since 9 + 9 + 0 + 2 + 610 + 4 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9902610439) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 582506488 + ... + 582506504.

Almost surely, 2^9902610432 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 9902610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944773210).

9902610432 is an abundant number, since it is smaller than the sum of its proper divisors (25986935988).

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

9902610432 is a wasteful number, since it uses less digits than its factorization.

9902610432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9902610432 is about 99511.8607604139. The cubic root of 9902610432 is about 2147.4178795626.

The spelling of 9902610432 in words is "nine billion, nine hundred two million, six hundred ten thousand, four hundred thirty-two".