7273862940100 has 27 divisors (see below), whose sum is σ = 15784341105351. Its totient is φ = 2909534388000.

The previous prime is 7273862940073. The next prime is 7273862940107. The reversal of 7273862940100 is 10492683727.

It is a happy number.

The square root of 7273862940100 is 2697010.

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 3261180903876 + 4012682036224 = 1805874^2 + 2003168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7273862940107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26835250 + ... + 27104950.

Almost surely, 2^{7273862940100} is an apocalyptic number.

7273862940100 is the 2697010-th square number.

It is an amenable number.

7273862940100 is an abundant number, since it is smaller than the sum of its proper divisors (8510478165251).

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

7273862940100 is an frugal number, since it uses more digits than its factorization.

7273862940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539416 (or 269708 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 7273862940100 by its sum of digits (49), we get a square (356419284064900 = 18879070²).

The spelling of 7273862940100 in words is "seven trillion, two hundred seventy-three billion, eight hundred sixty-two million, nine hundred forty thousand, one hundred".