27832461819904 has 279 divisors, whose sum is σ = 67690832037087. Its totient is φ = 11409580621824.

The previous prime is 27832461819853. The next prime is 27832461819919. The reversal of 27832461819904 is 40991816423872.

The square root of 27832461819904 is 5275648.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 1210107035637 + ... + 1210107035659.

Almost surely, 2^{27832461819904} is an apocalyptic number.

27832461819904 is a droll number since its even prime factors and its odd prime factors have the same sum.

27832461819904 is the 5275648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27832461819904

27832461819904 is an abundant number, since it is smaller than the sum of its proper divisors (39858370217183).

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

27832461819904 is an frugal number, since it uses more digits than its factorization.

27832461819904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

27832461819904 divided by its sum of digits (64) gives a square (434882215936 = 659456²).

The spelling of 27832461819904 in words is "twenty-seven trillion, eight hundred thirty-two billion, four hundred sixty-one million, eight hundred nineteen thousand, nine hundred four".