7638312960 has 240 divisors, whose sum is σ = 27381053700. Its totient is φ = 2036662272.

The previous prime is 7638312937. The next prime is 7638312971. The reversal of 7638312960 is 692138367.

7638312960 is a `hidden beast` number, since 7 + 638 + 3 + 1 + 2 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7120659456 + 517653504 = 84384^2 + 22752^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 824836 + ... + 834044.

Almost surely, 2^7638312960 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 7638312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690526850).

7638312960 is an abundant number, since it is smaller than the sum of its proper divisors (19742740740).

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

7638312960 is an equidigital number, since it uses as much as digits as its factorization.

7638312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9219 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7638312960 is about 87397.4425255110. The cubic root of 7638312960 is about 1969.3934212606.

The spelling of 7638312960 in words is "seven billion, six hundred thirty-eight million, three hundred twelve thousand, nine hundred sixty".