6301640664 has 96 divisors (see below), whose sum is σ = 18712512000. Its totient is φ = 1899944640.

The previous prime is 6301640651. The next prime is 6301640677. The reversal of 6301640664 is 4660461036.

6301640664 is a `hidden beast` number, since 6 + 3 + 0 + 1 + 640 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6301640651) and next prime (6301640677).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137617 + ... + 177599.

It is an arithmetic number, because the mean of its divisors is an integer number (194922000).

Almost surely, 2^6301640664 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 6301640664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356256000).

6301640664 is an abundant number, since it is smaller than the sum of its proper divisors (12410871336).

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

6301640664 is a wasteful number, since it uses less digits than its factorization.

6301640664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40205 (or 40198 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6301640664 is about 79382.8738708797. The cubic root of 6301640664 is about 1847.0750628044.

The spelling of 6301640664 in words is "six billion, three hundred one million, six hundred forty thousand, six hundred sixty-four".