679318827264 has 729 divisors, whose sum is σ = 2515662202599. Its totient is φ = 175655208960.

The previous prime is 679318827259. The next prime is 679318827277. The reversal of 679318827264 is 462728813976.

The square root of 679318827264 is 824208.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×679318827264² (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 nude number because it is divisible by every one of its digits.

Its product of digits (48771072) is a multiple of the sum of its prime factors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3046272657 + ... + 3046272879.

Almost surely, 2^679318827264 is an apocalyptic number.

679318827264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

679318827264 is the 824208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679318827264

679318827264 is an abundant number, since it is smaller than the sum of its proper divisors (1836343375335).

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

679318827264 is a wasteful number, since it uses less digits than its factorization.

679318827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 246 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 679318827264 in words is "six hundred seventy-nine billion, three hundred eighteen million, eight hundred twenty-seven thousand, two hundred sixty-four".