6657653961 has 36 divisors (see below), whose sum is σ = 11547554304. Its totient is φ = 3681644400.

The previous prime is 6657653843. The next prime is 6657653993. The reversal of 6657653961 is 1693567566.

6657653961 is a `hidden beast` number, since 6 + 6 + 576 + 5 + 3 + 9 + 61 = 666.

It is not a de Polignac number, because 6657653961 - 2⁷ = 6657653833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6657653898 and 6657653907.

It is not an unprimeable number, because it can be changed into a prime (6657651961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 229825 + ... + 257166.

Almost surely, 2^6657653961 is an apocalyptic number.

It is an amenable number.

6657653961 is a deficient number, since it is larger than the sum of its proper divisors (4889900343).

6657653961 is a wasteful number, since it uses less digits than its factorization.

6657653961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487042 (or 487032 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 6657653961 is about 81594.4481015712. The cubic root of 6657653961 is about 1881.2235472033.

The spelling of 6657653961 in words is "six billion, six hundred fifty-seven million, six hundred fifty-three thousand, nine hundred sixty-one".