27374245200 has 90 divisors (see below), whose sum is σ = 94996247294. Its totient is φ = 7299797760.

The previous prime is 27374245159. The next prime is 27374245201. The reversal of 27374245200 is 254247372.

It is a happy number.

27374245200 is a `hidden beast` number, since 27 + 3 + 7 + 424 + 5 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3433491216 + 23940753984 = 58596^2 + 154728^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27374245201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3798379 + ... + 3805578.

Almost surely, 2^27374245200 is an apocalyptic number.

27374245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27374245200 is an abundant number, since it is smaller than the sum of its proper divisors (67622002094).

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

27374245200 is a wasteful number, since it uses less digits than its factorization.

27374245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7603981 (or 7603967 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 27374245200 in words is "twenty-seven billion, three hundred seventy-four million, two hundred forty-five thousand, two hundred".