786716615664 has 800 divisors, whose sum is σ = 2787483494400. Its totient is φ = 212093199360.

The previous prime is 786716615651. The next prime is 786716615687. The reversal of 786716615664 is 466516617687.

786716615664 is a `hidden beast` number, since 7 + 8 + 6 + 7 + 1 + 6 + 61 + 566 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1382629972 + ... + 1382630540.

It is an arithmetic number, because the mean of its divisors is an integer number (3484354368).

Almost surely, 2^786716615664 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 786716615664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393741747200).

786716615664 is an abundant number, since it is smaller than the sum of its proper divisors (2000766878736).

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

786716615664 is a wasteful number, since it uses less digits than its factorization.

786716615664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 655 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 786716615664 in words is "seven hundred eighty-six billion, seven hundred sixteen million, six hundred fifteen thousand, six hundred sixty-four".