6386493072960 has 2688 divisors, whose sum is σ = 31147372523520. Its totient is φ = 1195587993600.

The previous prime is 6386493072919. The next prime is 6386493072979. The reversal of 6386493072960 is 692703946836.

6386493072960 is a `hidden beast` number, since 6 + 3 + 86 + 493 + 0 + 7 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4834589100 + ... + 4834590420.

Almost surely, 2^{6386493072960} is an apocalyptic number.

6386493072960 is a gapful number since it is divisible by the number (60) 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 6386493072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573686261760).

6386493072960 is an abundant number, since it is smaller than the sum of its proper divisors (24760879450560).

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

6386493072960 is a wasteful number, since it uses less digits than its factorization.

6386493072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 6386493072960 in words is "six trillion, three hundred eighty-six billion, four hundred ninety-three million, seventy-two thousand, nine hundred sixty".