6400120366080 has 2640 divisors, whose sum is σ = 28700178287616. Its totient is φ = 1334376529920.

The previous prime is 6400120366069. The next prime is 6400120366097. The reversal of 6400120366080 is 806630210046.

6400120366080 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 12 + 0 + 36 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32487920542 + ... + 32487920738.

Almost surely, 2^{6400120366080} is an apocalyptic number.

6400120366080 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 6400120366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350089143808).

6400120366080 is an abundant number, since it is smaller than the sum of its proper divisors (22300057921536).

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

6400120366080 is a wasteful number, since it uses less digits than its factorization.

6400120366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 6400120366080 in words is "six trillion, four hundred billion, one hundred twenty million, three hundred sixty-six thousand, eighty".