6678619595264 has 160 divisors (see below), whose sum is σ = 14195008626480. Its totient is φ = 3128266063872.

The previous prime is 6678619595243. The next prime is 6678619595279. The reversal of 6678619595264 is 4625959168766.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2800240785664 + 3878378809600 = 1673392^2 + 1969360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6678619595191 and 6678619595200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1925227322 + ... + 1925230790.

Almost surely, 2^{6678619595264} is an apocalyptic number.

6678619595264 is a gapful number since it is divisible by the number (64) 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 6678619595264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097504313240).

6678619595264 is an abundant number, since it is smaller than the sum of its proper divisors (7516389031216).

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

6678619595264 is a wasteful number, since it uses less digits than its factorization.

6678619595264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4454 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 74.

The spelling of 6678619595264 in words is "six trillion, six hundred seventy-eight billion, six hundred nineteen million, five hundred ninety-five thousand, two hundred sixty-four".