679047740976 has 320 divisors, whose sum is σ = 2040985082880. Its totient is φ = 192564449280.

The previous prime is 679047740963. The next prime is 679047740981.

679047740976 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×679047740976² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156930525 + ... + 156934851.

It is an arithmetic number, because the mean of its divisors is an integer number (6378078384).

Almost surely, 2^679047740976 is an apocalyptic number.

679047740976 is a gapful number since it is divisible by the number (66) 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 679047740976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020492541440).

679047740976 is an abundant number, since it is smaller than the sum of its proper divisors (1361937341904).

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

679047740976 is a wasteful number, since it uses less digits than its factorization.

679047740976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 112021056, while the sum is 66.

The spelling of 679047740976 in words is "six hundred seventy-nine billion, forty-seven million, seven hundred forty thousand, nine hundred seventy-six".