7164601600 has 108 divisors (see below), whose sum is σ = 19097846236. Its totient is φ = 2645360640.

The previous prime is 7164601589. The next prime is 7164601627. The reversal of 7164601600 is 61064617.

It can be written as a sum of positive squares in 6 ways, for example, as 3168338944 + 3996262656 = 56288^2 + 63216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40144 + ... + 126256.

Almost surely, 2^7164601600 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 7164601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9548923118).

7164601600 is an abundant number, since it is smaller than the sum of its proper divisors (11933244636).

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

7164601600 is a wasteful number, since it uses less digits than its factorization.

7164601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86152 (or 86133 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 7164601600 is about 84643.9696611637. The cubic root of 7164601600 is about 1927.8090523289.

The spelling of 7164601600 in words is "seven billion, one hundred sixty-four million, six hundred one thousand, six hundred".