647879662080 has 960 divisors, whose sum is σ = 2793777972480. Its totient is φ = 141631193088.

The previous prime is 647879662061. The next prime is 647879662151. The reversal of 647879662080 is 80266978746.

647879662080 is a `hidden beast` number, since 6 + 478 + 7 + 9 + 66 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 647879661999 and 647879662017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77894082 + ... + 77902398.

It is an arithmetic number, because the mean of its divisors is an integer number (2910185388).

Almost surely, 2^647879662080 is an apocalyptic number.

647879662080 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 647879662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396888986240).

647879662080 is an abundant number, since it is smaller than the sum of its proper divisors (2145898310400).

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

647879662080 is a wasteful number, since it uses less digits than its factorization.

647879662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8357 counting only the distinct ones).

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

The spelling of 647879662080 in words is "six hundred forty-seven billion, eight hundred seventy-nine million, six hundred sixty-two thousand, eighty".