6677400040 has 64 divisors (see below), whose sum is σ = 15326962560. Its totient is φ = 2617255680.

The previous prime is 6677399983. The next prime is 6677400073. The reversal of 6677400040 is 400047766.

It is a junction number, because it is equal to n+sod(n) for n = 6677399969 and 6677400005.

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, 2311477 + ... + 2314363.

It is an arithmetic number, because the mean of its divisors is an integer number (239483790).

Almost surely, 2^6677400040 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 6677400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663481280).

6677400040 is an abundant number, since it is smaller than the sum of its proper divisors (8649562520).

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

6677400040 is a wasteful number, since it uses less digits than its factorization.

6677400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 6677400040 is about 81715.3598780547. The cubic root of 6677400040 is about 1883.0815652865.

The spelling of 6677400040 in words is "six billion, six hundred seventy-seven million, four hundred thousand, forty".