6411947104800 has 432 divisors, whose sum is σ = 23679767022912. Its totient is φ = 1692918144000.

The previous prime is 6411947104777. The next prime is 6411947104847. The reversal of 6411947104800 is 84017491146.

6411947104800 is a `hidden beast` number, since 6 + 4 + 11 + 94 + 71 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6411947104800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19471117 + ... + 19797683.

It is an arithmetic number, because the mean of its divisors is an integer number (54814275516).

Almost surely, 2^{6411947104800} is an apocalyptic number.

6411947104800 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 6411947104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839883511456).

6411947104800 is an abundant number, since it is smaller than the sum of its proper divisors (17267819918112).

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

6411947104800 is a wasteful number, since it uses less digits than its factorization.

6411947104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326703 (or 326678 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 6411947104800 in words is "six trillion, four hundred eleven billion, nine hundred forty-seven million, one hundred four thousand, eight hundred".