27732240900 has 729 divisors, whose sum is σ = 111317994333. Its totient is φ = 5755276800.

The previous prime is 27732240859. The next prime is 27732240919. The reversal of 27732240900 is 904223772.

The square root of 27732240900 is 166530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 24450325956 + 3281914944 = 156366^2 + 57288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 454626870 + ... + 454626930.

Almost surely, 2^27732240900 is an apocalyptic number.

27732240900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27732240900 is the 166530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27732240900

27732240900 is an abundant number, since it is smaller than the sum of its proper divisors (83585753433).

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

27732240900 is a wasteful number, since it uses less digits than its factorization.

27732240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Multiplying 27732240900 by its sum of digits (36), we get a square (998360672400 = 999180²).

27732240900 divided by its sum of digits (36) gives a square (770340025 = 27755²).

The spelling of 27732240900 in words is "twenty-seven billion, seven hundred thirty-two million, two hundred forty thousand, nine hundred".