7950632760 has 480 divisors, whose sum is σ = 32469449760. Its totient is φ = 1708978176.

The previous prime is 7950632749. The next prime is 7950632843. The reversal of 7950632760 is 672360597.

7950632760 is a `hidden beast` number, since 7 + 9 + 5 + 0 + 632 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×7950632760² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6553914 + ... + 6555126.

It is an arithmetic number, because the mean of its divisors is an integer number (67644687).

Almost surely, 2^7950632760 is an apocalyptic number.

7950632760 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 7950632760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16234724880).

7950632760 is an abundant number, since it is smaller than the sum of its proper divisors (24518817000).

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

7950632760 is a wasteful number, since it uses less digits than its factorization.

7950632760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 7950632760 is about 89166.3207719148. The cubic root of 7950632760 is about 1995.8775719651.

The spelling of 7950632760 in words is "seven billion, nine hundred fifty million, six hundred thirty-two thousand, seven hundred sixty".