679771182720 has 384 divisors, whose sum is σ = 2668801815360. Its totient is φ = 146236145664.

The previous prime is 679771182697. The next prime is 679771182743. The reversal of 679771182720 is 27281177976.

It is an interprime number because it is at equal distance from previous prime (679771182697) and next prime (679771182743).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1386847 + ... + 1811873.

Almost surely, 2^679771182720 is an apocalyptic number.

679771182720 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 679771182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334400907680).

679771182720 is an abundant number, since it is smaller than the sum of its proper divisors (1989030632640).

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

679771182720 is a wasteful number, since it uses less digits than its factorization.

679771182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425080 (or 425061 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 57.

The spelling of 679771182720 in words is "six hundred seventy-nine billion, seven hundred seventy-one million, one hundred eighty-two thousand, seven hundred twenty".