6399461376000 has 2880 divisors, whose sum is σ = 30008423337984. Its totient is φ = 1321795584000.

The previous prime is 6399461375981. The next prime is 6399461376017. The reversal of 6399461376000 is 6731649936.

6399461376000 is a `hidden beast` number, since 6 + 3 + 99 + 461 + 37 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38320127917 + ... + 38320128083.

Almost surely, 2^{6399461376000} is an apocalyptic number.

6399461376000 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 6399461376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004211668992).

6399461376000 is an abundant number, since it is smaller than the sum of its proper divisors (23608961961984).

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

6399461376000 is an equidigital number, since it uses as much as digits as its factorization.

6399461376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 6399461376000 in words is "six trillion, three hundred ninety-nine billion, four hundred sixty-one million, three hundred seventy-six thousand".