7633668096 has 168 divisors, whose sum is σ = 22889420190. Its totient is φ = 2544058368.

The previous prime is 7633668089. The next prime is 7633668109. The reversal of 7633668096 is 6908663367.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7615005696 + 18662400 = 87264^2 + 4320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1490436 + ... + 1495548.

Almost surely, 2^7633668096 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 7633668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11444710095).

7633668096 is an abundant number, since it is smaller than the sum of its proper divisors (15255752094).

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

7633668096 is an frugal number, since it uses more digits than its factorization.

7633668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 7633668096 is about 87370.8652583915. The cubic root of 7633668096 is about 1968.9941437634.

The spelling of 7633668096 in words is "seven billion, six hundred thirty-three million, six hundred sixty-eight thousand, ninety-six".