7222719145600 has 768 divisors, whose sum is σ = 22003816665600. Its totient is φ = 2288988979200.

The previous prime is 7222719145529. The next prime is 7222719145661. The reversal of 7222719145600 is 65419172227.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2302427232 + ... + 2302430368.

It is an arithmetic number, because the mean of its divisors is an integer number (28650802950).

Almost surely, 2^{7222719145600} is an apocalyptic number.

7222719145600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7222719145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001908332800).

7222719145600 is an abundant number, since it is smaller than the sum of its proper divisors (14781097520000).

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

7222719145600 is a wasteful number, since it uses less digits than its factorization.

7222719145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 7222719145600 in words is "seven trillion, two hundred twenty-two billion, seven hundred nineteen million, one hundred forty-five thousand, six hundred".