6688263621504 has 64 divisors (see below), whose sum is σ = 18700737120000. Its totient is φ = 2112083246592.

The previous prime is 6688263621503. The next prime is 6688263621509. The reversal of 6688263621504 is 4051263628866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6688263621503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458344104 + ... + 458358695.

It is an arithmetic number, because the mean of its divisors is an integer number (292199017500).

Almost surely, 2^{6688263621504} is an apocalyptic number.

6688263621504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6688263621504 is an abundant number, since it is smaller than the sum of its proper divisors (12012473498496).

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

6688263621504 is a wasteful number, since it uses less digits than its factorization.

6688263621504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916702835 (or 916702823 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 6688263621504 in words is "six trillion, six hundred eighty-eight billion, two hundred sixty-three million, six hundred twenty-one thousand, five hundred four".