6164258016 has 288 divisors, whose sum is σ = 19571352192. Its totient is φ = 1692472320.

The previous prime is 6164257999. The next prime is 6164258039. The reversal of 6164258016 is 6108524616.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18622971 + ... + 18623301.

It is an arithmetic number, because the mean of its divisors is an integer number (67956084).

Almost surely, 2^6164258016 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 6164258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785676096).

6164258016 is an abundant number, since it is smaller than the sum of its proper divisors (13407094176).

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

6164258016 is a wasteful number, since it uses less digits than its factorization.

6164258016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6164258016 is about 78512.7888690753. The cubic root of 6164258016 is about 1833.5535692521.

The spelling of 6164258016 in words is "six billion, one hundred sixty-four million, two hundred fifty-eight thousand, sixteen".