6164810726400 has 660 divisors, whose sum is σ = 22860747224040. Its totient is φ = 1641561292800.

The previous prime is 6164810726357. The next prime is 6164810726441. The reversal of 6164810726400 is 46270184616.

6164810726400 is a `hidden beast` number, since 6 + 164 + 8 + 10 + 72 + 6 + 400 = 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 59 ways as a sum of consecutive naturals, for example, 1781220670 + ... + 1781224130.

It is an arithmetic number, because the mean of its divisors is an integer number (34637495794).

Almost surely, 2^{6164810726400} is an apocalyptic number.

6164810726400 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 6164810726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430373612020).

6164810726400 is an abundant number, since it is smaller than the sum of its proper divisors (16695936497640).

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

6164810726400 is a wasteful number, since it uses less digits than its factorization.

6164810726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6164810726400 in words is "six trillion, one hundred sixty-four billion, eight hundred ten million, seven hundred twenty-six thousand, four hundred".