6772586688 has 448 divisors, whose sum is σ = 24140160000. Its totient is φ = 1820786688.

The previous prime is 6772586629. The next prime is 6772586713. The reversal of 6772586688 is 8866852776.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15083488 + ... + 15083936.

Almost surely, 2^6772586688 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 6772586688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080000).

6772586688 is an abundant number, since it is smaller than the sum of its proper divisors (17367573312).

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

6772586688 is a wasteful number, since it uses less digits than its factorization.

6772586688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The square root of 6772586688 is about 82295.7270336680. The cubic root of 6772586688 is about 1891.9871867926.

The spelling of 6772586688 in words is "six billion, seven hundred seventy-two million, five hundred eighty-six thousand, six hundred eighty-eight".