7164005016 has 256 divisors, whose sum is σ = 21934080000. Its totient is φ = 1946609280.

The previous prime is 7164004999. The next prime is 7164005039. The reversal of 7164005016 is 6105004617.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17097655 + ... + 17098073.

It is an arithmetic number, because the mean of its divisors is an integer number (85680000).

Almost surely, 2^7164005016 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 7164005016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10967040000).

7164005016 is an abundant number, since it is smaller than the sum of its proper divisors (14770074984).

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

7164005016 is a wasteful number, since it uses less digits than its factorization.

7164005016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 7164005016 is about 84640.4455092245. The cubic root of 7164005016 is about 1927.7555424003.

The spelling of 7164005016 in words is "seven billion, one hundred sixty-four million, five thousand, sixteen".