6731585920900 has 27 divisors (see below), whose sum is σ = 14607597749871. Its totient is φ = 2692623990240.

The previous prime is 6731585920897. The next prime is 6731585920949. The reversal of 6731585920900 is 90295851376.

The square root of 6731585920900 is 2594530.

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 321210096516 + 6410375824384 = 566754^2 + 2531872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25815574 + ... + 26075026.

Almost surely, 2^{6731585920900} is an apocalyptic number.

6731585920900 is the 2594530-th square number.

It is an amenable number.

6731585920900 is an abundant number, since it is smaller than the sum of its proper divisors (7876011828971).

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

6731585920900 is an frugal number, since it uses more digits than its factorization.

6731585920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518920 (or 259460 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 6731585920900 in words is "six trillion, seven hundred thirty-one billion, five hundred eighty-five million, nine hundred twenty thousand, nine hundred".