679057376256 has 264 divisors, whose sum is σ = 2260727499264. Its totient is φ = 192297369600.

The previous prime is 679057376251. The next prime is 679057376293. The reversal of 679057376256 is 652673750976.

679057376256 is a `hidden beast` number, since 6 + 7 + 9 + 0 + 5 + 7 + 376 + 256 = 666.

It is a super-2 number, since 2×679057376256² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 679057376193 and 679057376202.

It is not an unprimeable number, because it can be changed into a prime (679057376251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7243281 + ... + 7336431.

Almost surely, 2^679057376256 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 679057376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130363749632).

679057376256 is an abundant number, since it is smaller than the sum of its proper divisors (1581670123008).

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

679057376256 is a wasteful number, since it uses less digits than its factorization.

679057376256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93297 (or 93276 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 679057376256 in words is "six hundred seventy-nine billion, fifty-seven million, three hundred seventy-six thousand, two hundred fifty-six".