7642632096 has 192 divisors, whose sum is σ = 25375472640. Its totient is φ = 2215192320.

The previous prime is 7642632079. The next prime is 7642632161. The reversal of 7642632096 is 6902362467.

7642632096 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 632 + 0 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201111 + ... + 236073.

It is an arithmetic number, because the mean of its divisors is an integer number (132163920).

Almost surely, 2^7642632096 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 7642632096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687736320).

7642632096 is an abundant number, since it is smaller than the sum of its proper divisors (17732840544).

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

7642632096 is a wasteful number, since it uses less digits than its factorization.

7642632096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35016 (or 35002 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 7642632096 is about 87422.1487724936. The cubic root of 7642632096 is about 1969.7645536166.

The spelling of 7642632096 in words is "seven billion, six hundred forty-two million, six hundred thirty-two thousand, ninety-six".