6164211916800 has 1512 divisors, whose sum is σ = 25930910563272. Its totient is φ = 1395523584000.

The previous prime is 6164211916799. The next prime is 6164211916823. The reversal of 6164211916800 is 86191124616.

6164211916800 is a `hidden beast` number, since 61 + 6 + 421 + 1 + 9 + 168 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11831500540 + ... + 11831501060.

Almost surely, 2^{6164211916800} is an apocalyptic number.

6164211916800 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 6164211916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12965455281636).

6164211916800 is an abundant number, since it is smaller than the sum of its proper divisors (19766698646472).

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

6164211916800 is a wasteful number, since it uses less digits than its factorization.

6164211916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 6164211916800 in words is "six trillion, one hundred sixty-four billion, two hundred eleven million, nine hundred sixteen thousand, eight hundred".