7217493120 has 256 divisors, whose sum is σ = 25690291200. Its totient is φ = 1915011072.

The previous prime is 7217493119. The next prime is 7217493139. The reversal of 7217493120 is 213947127.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3852504 + ... + 3854376.

It is an arithmetic number, because the mean of its divisors is an integer number (100352700).

Almost surely, 2^7217493120 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 7217493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845145600).

7217493120 is an abundant number, since it is smaller than the sum of its proper divisors (18472798080).

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

7217493120 is a wasteful number, since it uses less digits than its factorization.

7217493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7217493120 is about 84955.8304061587. The cubic root of 7217493120 is about 1932.5413397591.

The spelling of 7217493120 in words is "seven billion, two hundred seventeen million, four hundred ninety-three thousand, one hundred twenty".