679336761600 has 2160 divisors, whose sum is σ = 3091352140800. Its totient is φ = 143745269760.

The previous prime is 679336761599. The next prime is 679336761611. The reversal of 679336761600 is 6167633976.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×679336761600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4067884717 + ... + 4067884883.

Almost surely, 2^679336761600 is an apocalyptic number.

679336761600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679336761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545676070400).

679336761600 is an abundant number, since it is smaller than the sum of its proper divisors (2412015379200).

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

679336761600 is a wasteful number, since it uses less digits than its factorization.

679336761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 679336761600 in words is "six hundred seventy-nine billion, three hundred thirty-six million, seven hundred sixty-one thousand, six hundred".