7408009632 has 96 divisors (see below), whose sum is σ = 20392706880. Its totient is φ = 2351462400.

The previous prime is 7408009597. The next prime is 7408009663. The reversal of 7408009632 is 2369008047.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185007 + ... + 221457.

It is an arithmetic number, because the mean of its divisors is an integer number (212424030).

Almost surely, 2^7408009632 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 7408009632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196353440).

7408009632 is an abundant number, since it is smaller than the sum of its proper divisors (12984697248).

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

7408009632 is a wasteful number, since it uses less digits than its factorization.

7408009632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36566 (or 36558 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7408009632 is about 86069.7951200071. The cubic root of 7408009632 is about 1949.3979848387.

The spelling of 7408009632 in words is "seven billion, four hundred eight million, nine thousand, six hundred thirty-two".