6164716400 has 60 divisors (see below), whose sum is σ = 14849179800. Its totient is φ = 2459485440.

The previous prime is 6164716391. The next prime is 6164716403. The reversal of 6164716400 is 46174616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6164716403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135791 + ... + 175409.

It is an arithmetic number, because the mean of its divisors is an integer number (247486330).

Almost surely, 2^6164716400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6164716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424589900).

6164716400 is an abundant number, since it is smaller than the sum of its proper divisors (8684463400).

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

6164716400 is a wasteful number, since it uses less digits than its factorization.

6164716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40026 (or 40015 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 6164716400 is about 78515.7079825432. The cubic root of 6164716400 is about 1833.5990167758.

The spelling of 6164716400 in words is "six billion, one hundred sixty-four million, seven hundred sixteen thousand, four hundred".