679667834664 has 288 divisors, whose sum is σ = 2313034345440. Its totient is φ = 178707513600.

The previous prime is 679667834663. The next prime is 679667834759. The reversal of 679667834664 is 466438766976.

It is a happy number.

679667834664 is a `hidden beast` number, since 6 + 7 + 96 + 6 + 78 + 3 + 466 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 679667834592 and 679667834601.

It is not an unprimeable number, because it can be changed into a prime (679667834663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15158599 + ... + 15203369.

It is an arithmetic number, because the mean of its divisors is an integer number (8031369255).

Almost surely, 2^679667834664 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 679667834664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156517172720).

679667834664 is an abundant number, since it is smaller than the sum of its proper divisors (1633366510776).

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

679667834664 is a wasteful number, since it uses less digits than its factorization.

679667834664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45141 (or 45127 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 679667834664 in words is "six hundred seventy-nine billion, six hundred sixty-seven million, eight hundred thirty-four thousand, six hundred sixty-four".