6677872640 has 60 divisors (see below), whose sum is σ = 16026601836. Its totient is φ = 2671116288.

The previous prime is 6677872633. The next prime is 6677872661. The reversal of 6677872640 is 462787766.

It can be written as a sum of positive squares in 2 ways, for example, as 935870464 + 5742002176 = 30592^2 + 75776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41162 + ... + 122678.

Almost surely, 2^6677872640 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 6677872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013300918).

6677872640 is an abundant number, since it is smaller than the sum of its proper divisors (9348729196).

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

6677872640 is an frugal number, since it uses more digits than its factorization.

6677872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81550 (or 81524 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 53.

The square root of 6677872640 is about 81718.2515720937. The cubic root of 6677872640 is about 1883.1259899302.

The spelling of 6677872640 in words is "six billion, six hundred seventy-seven million, eight hundred seventy-two thousand, six hundred forty".