87932063047680 has 504 divisors, whose sum is σ = 316520991612072. Its totient is φ = 23448478482432.

The previous prime is 87932063047679. The next prime is 87932063047687. The reversal of 87932063047680 is 8674036023978.

87932063047680 is a `hidden beast` number, since 8 + 7 + 9 + 3 + 20 + 63 + 0 + 476 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87932063047687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268574959 + ... + 268902161.

Almost surely, 2^{87932063047680} is an apocalyptic number.

87932063047680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87932063047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158260495806036).

87932063047680 is an abundant number, since it is smaller than the sum of its proper divisors (228588928564392).

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

87932063047680 is an frugal number, since it uses more digits than its factorization.

87932063047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327258 (or 327213 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 87932063047680 in words is "eighty-seven trillion, nine hundred thirty-two billion, sixty-three million, forty-seven thousand, six hundred eighty".