7647000480 has 192 divisors, whose sum is σ = 30588122880. Its totient is φ = 1747878912.

The previous prime is 7647000479. The next prime is 7647000497. The reversal of 7647000480 is 840007467.

It is a happy number.

7647000480 is a `hidden beast` number, since 7 + 647 + 0 + 0 + 0 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×7647000480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96199 + ... + 156678.

It is an arithmetic number, because the mean of its divisors is an integer number (159313140).

Almost surely, 2^7647000480 is an apocalyptic number.

7647000480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7647000480 is an abundant number, since it is smaller than the sum of its proper divisors (22941122400).

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

7647000480 is a wasteful number, since it uses less digits than its factorization.

7647000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252908 (or 252894 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7647000480 is about 87447.1296269923. The cubic root of 7647000480 is about 1970.1397755274.

The spelling of 7647000480 in words is "seven billion, six hundred forty-seven million, four hundred eighty", and thus it is an aban number.