6164931097920 has 448 divisors, whose sum is σ = 24263489005056. Its totient is φ = 1293889044480.

The previous prime is 6164931097823. The next prime is 6164931097943. The reversal of 6164931097920 is 297901394616.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4025734 + ... + 5341946.

It is an arithmetic number, because the mean of its divisors is an integer number (54159573672).

Almost surely, 2^{6164931097920} is an apocalyptic number.

6164931097920 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 6164931097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131744502528).

6164931097920 is an abundant number, since it is smaller than the sum of its proper divisors (18098557907136).

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

6164931097920 is a wasteful number, since it uses less digits than its factorization.

6164931097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316298 (or 1316288 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 6164931097920 in words is "six trillion, one hundred sixty-four billion, nine hundred thirty-one million, ninety-seven thousand, nine hundred twenty".