726815412900 has 108 divisors (see below), whose sum is σ = 2307000259200. Its totient is φ = 191364039360.

The previous prime is 726815412893. The next prime is 726815412943. The reversal of 726815412900 is 9214518627.

726815412900 is a `hidden beast` number, since 7 + 2 + 6 + 81 + 541 + 29 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5040120 + ... + 5182319.

Almost surely, 2^726815412900 is an apocalyptic number.

It is an amenable number.

726815412900 is an abundant number, since it is smaller than the sum of its proper divisors (1580184846300).

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

726815412900 is a wasteful number, since it uses less digits than its factorization.

726815412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222538 (or 10222528 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 726815412900 in words is "seven hundred twenty-six billion, eight hundred fifteen million, four hundred twelve thousand, nine hundred".