6417809664 has 288 divisors, whose sum is σ = 20823290880. Its totient is φ = 1713954816.

The previous prime is 6417809653. The next prime is 6417809677. The reversal of 6417809664 is 4669087146.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8477574 + ... + 8478330.

Almost surely, 2^6417809664 is an apocalyptic number.

6417809664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6417809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411645440).

6417809664 is an abundant number, since it is smaller than the sum of its proper divisors (14405481216).

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

6417809664 is a wasteful number, since it uses less digits than its factorization.

6417809664 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 1741824, while the sum is 51.

The square root of 6417809664 is about 80111.2330700258. The cubic root of 6417809664 is about 1858.3561287951.

The spelling of 6417809664 in words is "six billion, four hundred seventeen million, eight hundred nine thousand, six hundred sixty-four".