7856785464 has 128 divisors (see below), whose sum is σ = 22425638400. Its totient is φ = 2270568960.

The previous prime is 7856785459. The next prime is 7856785477. The reversal of 7856785464 is 4645876587.

It is a junction number, because it is equal to n+sod(n) for n = 7856785398 and 7856785407.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2263122 + ... + 2266590.

It is an arithmetic number, because the mean of its divisors is an integer number (175200300).

Almost surely, 2^7856785464 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 7856785464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212819200).

7856785464 is an abundant number, since it is smaller than the sum of its proper divisors (14568852936).

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

7856785464 is a wasteful number, since it uses less digits than its factorization.

7856785464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3881 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The square root of 7856785464 is about 88638.5100506546. The cubic root of 7856785464 is about 1987.9935218074.

The spelling of 7856785464 in words is "seven billion, eight hundred fifty-six million, seven hundred eighty-five thousand, four hundred sixty-four".