7822632960 has 288 divisors, whose sum is σ = 28712403720. Its totient is φ = 1962934272.

The previous prime is 7822632949. The next prime is 7822632973. The reversal of 7822632960 is 692362287.

7822632960 is a `hidden beast` number, since 7 + 8 + 2 + 2 + 632 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6674236416 + 1148396544 = 81696^2 + 33888^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7822632960² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1564224 + ... + 1569216.

Almost surely, 2^7822632960 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 7822632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356201860).

7822632960 is an abundant number, since it is smaller than the sum of its proper divisors (20889770760).

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

7822632960 is a wasteful number, since it uses less digits than its factorization.

7822632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7822632960 is about 88445.6497516978. The cubic root of 7822632960 is about 1985.1088148086.

The spelling of 7822632960 in words is "seven billion, eight hundred twenty-two million, six hundred thirty-two thousand, nine hundred sixty".