6677370756 has 288 divisors, whose sum is σ = 21202621440. Its totient is φ = 1796909184.

The previous prime is 6677370743. The next prime is 6677370757. The reversal of 6677370756 is 6570737766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6677370757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8484195 + ... + 8484981.

Almost surely, 2^6677370756 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 6677370756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10601310720).

6677370756 is an abundant number, since it is smaller than the sum of its proper divisors (14525250684).

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

6677370756 is a wasteful number, since it uses less digits than its factorization.

6677370756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 54.

The square root of 6677370756 is about 81715.1806948990. The cubic root of 6677370756 is about 1883.0788125064.

The spelling of 6677370756 in words is "six billion, six hundred seventy-seven million, three hundred seventy thousand, seven hundred fifty-six".