6164121600 has 1152 divisors, whose sum is σ = 28435680000. Its totient is φ = 1300561920.

The previous prime is 6164121571. The next prime is 6164121617. The reversal of 6164121600 is 61214616.

6164121600 is a `hidden beast` number, since 6 + 1 + 641 + 2 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474163194 + ... + 474163206.

It is an arithmetic number, because the mean of its divisors is an integer number (24683750).

Almost surely, 2^6164121600 is an apocalyptic number.

6164121600 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 6164121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840000).

6164121600 is an abundant number, since it is smaller than the sum of its proper divisors (22271558400).

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

6164121600 is a wasteful number, since it uses less digits than its factorization.

6164121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6164121600 is about 78511.9201140820. The cubic root of 6164121600 is about 1833.5400435427.

The spelling of 6164121600 in words is "six billion, one hundred sixty-four million, one hundred twenty-one thousand, six hundred".