7806675456 has 320 divisors, whose sum is σ = 24716989440. Its totient is φ = 2426941440.

The previous prime is 7806675427. The next prime is 7806675469. The reversal of 7806675456 is 6545766087.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13671651 + ... + 13672221.

It is an arithmetic number, because the mean of its divisors is an integer number (77240592).

Almost surely, 2^7806675456 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 7806675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358494720).

7806675456 is an abundant number, since it is smaller than the sum of its proper divisors (16910313984).

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

7806675456 is a wasteful number, since it uses less digits than its factorization.

7806675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 7806675456 is about 88355.3929084128. The cubic root of 7806675456 is about 1983.7580783759.

The spelling of 7806675456 in words is "seven billion, eight hundred six million, six hundred seventy-five thousand, four hundred fifty-six".