6349601664 has 224 divisors, whose sum is σ = 21677337840. Its totient is φ = 1813985280.

The previous prime is 6349601663. The next prime is 6349601681. The reversal of 6349601664 is 4661069436.

6349601664 is a `hidden beast` number, since 6 + 34 + 9 + 601 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6349601663) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 648324 + ... + 658044.

Almost surely, 2^6349601664 is an apocalyptic number.

6349601664 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 6349601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10838668920).

6349601664 is an abundant number, since it is smaller than the sum of its proper divisors (15327736176).

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

6349601664 is an frugal number, since it uses more digits than its factorization.

6349601664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9760 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 6349601664 is about 79684.3878309923. The cubic root of 6349601664 is about 1851.7491772828.

The spelling of 6349601664 in words is "six billion, three hundred forty-nine million, six hundred one thousand, six hundred sixty-four".