7697687998464 has 312 divisors, whose sum is σ = 22742008760640. Its totient is φ = 2507557699584.

The previous prime is 7697687998367. The next prime is 7697687998541. The reversal of 7697687998464 is 4648997867967.

7697687998464 is a `hidden beast` number, since 7 + 6 + 9 + 76 + 8 + 79 + 9 + 8 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311581322 + ... + 1311587190.

It is an arithmetic number, because the mean of its divisors is an integer number (72891053720).

Almost surely, 2^{7697687998464} 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 7697687998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371004380320).

7697687998464 is an abundant number, since it is smaller than the sum of its proper divisors (15044320762176).

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

7697687998464 is a wasteful number, since it uses less digits than its factorization.

7697687998464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6678 counting only the distinct ones).

The product of its digits is 55306395648, while the sum is 90.

The spelling of 7697687998464 in words is "seven trillion, six hundred ninety-seven billion, six hundred eighty-seven million, nine hundred ninety-eight thousand, four hundred sixty-four".