7210735900900 has 144 divisors (see below), whose sum is σ = 18536733573120. Its totient is φ = 2382490051200.

The previous prime is 7210735900871. The next prime is 7210735900919. The reversal of 7210735900900 is 90095370127.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4491129 + ... + 5881471.

It is an arithmetic number, because the mean of its divisors is an integer number (128727316480).

Almost surely, 2^{7210735900900} is an apocalyptic number.

7210735900900 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 7210735900900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268366786560).

7210735900900 is an abundant number, since it is smaller than the sum of its proper divisors (11325997672220).

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

7210735900900 is a wasteful number, since it uses less digits than its factorization.

7210735900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390634 (or 1390627 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 43.

The spelling of 7210735900900 in words is "seven trillion, two hundred ten billion, seven hundred thirty-five million, nine hundred thousand, nine hundred".