7856134656 has 320 divisors, whose sum is σ = 23532208128. Its totient is φ = 2316238848.

The previous prime is 7856134651. The next prime is 7856134733. The reversal of 7856134656 is 6564316587.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 7856134599 and 7856134608.

It is not an unprimeable number, because it can be changed into a prime (7856134651) by changing a digit.

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, 61859265 + ... + 61859391.

Almost surely, 2^7856134656 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 7856134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766104064).

7856134656 is an abundant number, since it is smaller than the sum of its proper divisors (15676073472).

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

7856134656 is a wasteful number, since it uses less digits than its factorization.

7856134656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 7856134656 is about 88634.8388389125. The cubic root of 7856134656 is about 1987.9386292215.

The spelling of 7856134656 in words is "seven billion, eight hundred fifty-six million, one hundred thirty-four thousand, six hundred fifty-six".