6360497664 has 160 divisors (see below), whose sum is σ = 17635537920. Its totient is φ = 2037012480.

The previous prime is 6360497659. The next prime is 6360497669. The reversal of 6360497664 is 4667940636.

It is an interprime number because it is at equal distance from previous prime (6360497659) and next prime (6360497669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6360497669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45758907 + ... + 45759045.

It is an arithmetic number, because the mean of its divisors is an integer number (110222112).

Almost surely, 2^6360497664 is an apocalyptic number.

6360497664 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 6360497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817768960).

6360497664 is an abundant number, since it is smaller than the sum of its proper divisors (11275040256).

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

6360497664 is an frugal number, since it uses more digits than its factorization.

6360497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The square root of 6360497664 is about 79752.7282542735. The cubic root of 6360497664 is about 1852.8077806385.

The spelling of 6360497664 in words is "six billion, three hundred sixty million, four hundred ninety-seven thousand, six hundred sixty-four".