7007364100 has 81 divisors (see below), whose sum is σ = 16736003263. Its totient is φ = 2544784000.

The previous prime is 7007364073. The next prime is 7007364107. The reversal of 7007364100 is 14637007.

The square root of 7007364100 is 83710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4135261636 + 2872102464 = 64306^2 + 53592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7007364107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9207720 + ... + 9208480.

Almost surely, 2^7007364100 is an apocalyptic number.

7007364100 is the 83710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7007364100

7007364100 is an abundant number, since it is smaller than the sum of its proper divisors (9728639163).

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

7007364100 is a wasteful number, since it uses less digits than its factorization.

7007364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The cubic root of 7007364100 is about 1913.6017579864.

The spelling of 7007364100 in words is "seven billion, seven million, three hundred sixty-four thousand, one hundred".