7413210000 has 675 divisors, whose sum is σ = 30911224773. Its totient is φ = 1653120000.

The previous prime is 7413209987. The next prime is 7413210023. The reversal of 7413210000 is 123147.

The square root of 7413210000 is 86100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7384308624 + 28901376 = 85932^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 180809980 + ... + 180810020.

Almost surely, 2^7413210000 is an apocalyptic number.

7413210000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7413210000 is the 86100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7413210000

7413210000 is an abundant number, since it is smaller than the sum of its proper divisors (23498014773).

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

7413210000 is a wasteful number, since it uses less digits than its factorization.

7413210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The cubic root of 7413210000 is about 1949.8540324664.

Adding to 7413210000 its reverse (123147), we get a palindrome (7413333147).

The spelling of 7413210000 in words is "seven billion, four hundred thirteen million, two hundred ten thousand".