7687355121664 has 45 divisors (see below), whose sum is σ = 15374950843161. Its totient is φ = 3843500113920.

The previous prime is 7687355121653. The next prime is 7687355121673. The reversal of 7687355121664 is 4661215537867.

The square root of 7687355121664 is 2772608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2414269579264 + 5273085542400 = 1553792^2 + 2296320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 354882994 + ... + 354904654.

Almost surely, 2^{7687355121664} is an apocalyptic number.

7687355121664 is the 2772608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7687355121664

7687355121664 is an abundant number, since it is smaller than the sum of its proper divisors (7687595721497).

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

7687355121664 is an frugal number, since it uses more digits than its factorization.

7687355121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43350 (or 21663 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 61.

The spelling of 7687355121664 in words is "seven trillion, six hundred eighty-seven billion, three hundred fifty-five million, one hundred twenty-one thousand, six hundred sixty-four".