7402642632 has 192 divisors, whose sum is σ = 25231564800. Its totient is φ = 1904641920.

The previous prime is 7402642607. The next prime is 7402642633. The reversal of 7402642632 is 2362462047.

7402642632 is a `hidden beast` number, since 7 + 4 + 0 + 2 + 642 + 6 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7402642633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586969 + ... + 599447.

It is an arithmetic number, because the mean of its divisors is an integer number (131414400).

Almost surely, 2^7402642632 is an apocalyptic number.

7402642632 is a gapful number since it is divisible by the number (72) 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 7402642632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12615782400).

7402642632 is an abundant number, since it is smaller than the sum of its proper divisors (17828922168).

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

7402642632 is a wasteful number, since it uses less digits than its factorization.

7402642632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12609 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 7402642632 is about 86038.6112858640. The cubic root of 7402642632 is about 1948.9271005235.

The spelling of 7402642632 in words is "seven billion, four hundred two million, six hundred forty-two thousand, six hundred thirty-two".