7376493040900 has 27 divisors (see below), whose sum is σ = 16007048835519. Its totient is φ = 2950586352480.

The previous prime is 7376493040853. The next prime is 7376493040919. The reversal of 7376493040900 is 90403946737.

The square root of 7376493040900 is 2715970.

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 4624504017156 + 2751989023744 = 2150466^2 + 1658912^2 .

It is a super-2 number, since 2×7376493040900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27023902 + ... + 27295498.

Almost surely, 2^{7376493040900} is an apocalyptic number.

7376493040900 is the 2715970-th square number.

It is an amenable number.

7376493040900 is an abundant number, since it is smaller than the sum of its proper divisors (8630555794619).

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

7376493040900 is an frugal number, since it uses more digits than its factorization.

7376493040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543208 (or 271604 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 52.

The spelling of 7376493040900 in words is "seven trillion, three hundred seventy-six billion, four hundred ninety-three million, forty thousand, nine hundred".