27840761400 has 96 divisors (see below), whose sum is σ = 87522076800. Its totient is φ = 7319625600.

The previous prime is 27840761383. The next prime is 27840761413. The reversal of 27840761400 is 416704872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284170 + ... + 369369.

It is an arithmetic number, because the mean of its divisors is an integer number (911688300).

Almost surely, 2^27840761400 is an apocalyptic number.

27840761400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27840761400 is an abundant number, since it is smaller than the sum of its proper divisors (59681315400).

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

27840761400 is a wasteful number, since it uses less digits than its factorization.

27840761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653629 (or 653620 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 27840761400 in words is "twenty-seven billion, eight hundred forty million, seven hundred sixty-one thousand, four hundred".