7633452960 has 240 divisors, whose sum is σ = 30788626176. Its totient is φ = 1744768512.

The previous prime is 7633452947. The next prime is 7633453007. The reversal of 7633452960 is 692543367.

7633452960 is a `hidden beast` number, since 7 + 63 + 3 + 4 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48649 + ... + 132791.

Almost surely, 2^7633452960 is an apocalyptic number.

7633452960 is a gapful number since it is divisible by the number (70) 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 7633452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394313088).

7633452960 is an abundant number, since it is smaller than the sum of its proper divisors (23155173216).

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

7633452960 is a wasteful number, since it uses less digits than its factorization.

7633452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84177 (or 84160 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 7633452960 is about 87369.6340841599. The cubic root of 7633452960 is about 1968.9756465177.

The spelling of 7633452960 in words is "seven billion, six hundred thirty-three million, four hundred fifty-two thousand, nine hundred sixty".