7213197600 has 432 divisors, whose sum is σ = 29277376128. Its totient is φ = 1636945920.

The previous prime is 7213197499. The next prime is 7213197613. The reversal of 7213197600 is 67913127.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8416372 + ... + 8417228.

It is an arithmetic number, because the mean of its divisors is an integer number (67771704).

Almost surely, 2^7213197600 is an apocalyptic number.

7213197600 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 7213197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638688064).

7213197600 is an abundant number, since it is smaller than the sum of its proper divisors (22064178528).

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

7213197600 is a wasteful number, since it uses less digits than its factorization.

7213197600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7213197600 is about 84930.5457418001. The cubic root of 7213197600 is about 1932.1578770975.

The spelling of 7213197600 in words is "seven billion, two hundred thirteen million, one hundred ninety-seven thousand, six hundred".