7213848800 has 144 divisors (see below), whose sum is σ = 18970785792. Its totient is φ = 2670835200.

The previous prime is 7213848787. The next prime is 7213848877. The reversal of 7213848800 is 88483127.

It is a super-2 number, since 2×7213848800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564077 + ... + 576723.

It is an arithmetic number, because the mean of its divisors is an integer number (131741568).

Almost surely, 2^7213848800 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 7213848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485392896).

7213848800 is an abundant number, since it is smaller than the sum of its proper divisors (11756936992).

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

7213848800 is a wasteful number, since it uses less digits than its factorization.

7213848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12721 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 7213848800 is about 84934.3793760807. The cubic root of 7213848800 is about 1932.2160197511.

The spelling of 7213848800 in words is "seven billion, two hundred thirteen million, eight hundred forty-eight thousand, eight hundred".