5902146432 has 512 divisors, whose sum is σ = 21934080000. Its totient is φ = 1552545792.

The previous prime is 5902146407. The next prime is 5902146461. The reversal of 5902146432 is 2346412095.

It is a happy number.

5902146432 is a `hidden beast` number, since 5 + 9 + 0 + 2 + 1 + 4 + 643 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15410113 + ... + 15410495.

It is an arithmetic number, because the mean of its divisors is an integer number (42840000).

Almost surely, 2^5902146432 is an apocalyptic number.

5902146432 is a gapful number since it is divisible by the number (52) 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 5902146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10967040000).

5902146432 is an abundant number, since it is smaller than the sum of its proper divisors (16031933568).

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

5902146432 is a wasteful number, since it uses less digits than its factorization.

5902146432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5902146432 is about 76825.4282903779. The cubic root of 5902146432 is about 1807.1879690703.

The spelling of 5902146432 in words is "five billion, nine hundred two million, one hundred forty-six thousand, four hundred thirty-two".