7164049600 has 84 divisors (see below), whose sum is σ = 17652972568. Its totient is φ = 2861568000.

The previous prime is 7164049561. The next prime is 7164049601. The reversal of 7164049600 is 69404617.

It is a self number, because there is not a number n which added to its sum of digits gives 7164049600.

It is not an unprimeable number, because it can be changed into a prime (7164049601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294840 + ... + 1300360.

Almost surely, 2^7164049600 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 7164049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8826486284).

7164049600 is an abundant number, since it is smaller than the sum of its proper divisors (10488922968).

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

7164049600 is a wasteful number, since it uses less digits than its factorization.

7164049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 7164049600 is about 84640.7088817196. The cubic root of 7164049600 is about 1927.7595414146.

The spelling of 7164049600 in words is "seven billion, one hundred sixty-four million, forty-nine thousand, six hundred".