6380574342912 has 2016 divisors, whose sum is σ = 25131926453760. Its totient is φ = 1567641600000.

The previous prime is 6380574342853. The next prime is 6380574342913. The reversal of 6380574342912 is 2192434750836.

6380574342912 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 574 + 34 + 29 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6380574342913) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25420614787 + ... + 25420615037.

It is an arithmetic number, because the mean of its divisors is an integer number (12466233360).

It is a 1-persistent number, because it is pandigital, but 2⋅6380574342912 = 12761148685824 is not.

Almost surely, 2^{6380574342912} 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 6380574342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565963226880).

6380574342912 is an abundant number, since it is smaller than the sum of its proper divisors (18751352110848).

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

6380574342912 is a wasteful number, since it uses less digits than its factorization.

6380574342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6380574342912 in words is "six trillion, three hundred eighty billion, five hundred seventy-four million, three hundred forty-two thousand, nine hundred twelve".