7806464640 has 1024 divisors, whose sum is σ = 32901120000. Its totient is φ = 1731870720.

The previous prime is 7806464587. The next prime is 7806464663. The reversal of 7806464640 is 464646087.

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 127 ways as a sum of consecutive naturals, for example, 132312931 + ... + 132312989.

It is an arithmetic number, because the mean of its divisors is an integer number (32130000).

Almost surely, 2^7806464640 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 7806464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560000).

7806464640 is an abundant number, since it is smaller than the sum of its proper divisors (25094655360).

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

7806464640 is a wasteful number, since it uses less digits than its factorization.

7806464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 7806464640 is about 88354.1999001745. The cubic root of 7806464640 is about 1983.7402213632.

The spelling of 7806464640 in words is "seven billion, eight hundred six million, four hundred sixty-four thousand, six hundred forty".