87392976384 has 320 divisors, whose sum is σ = 284716776960. Its totient is φ = 23264133120.

The previous prime is 87392976379. The next prime is 87392976413. The reversal of 87392976384 is 48367929378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12458062 + ... + 12465074.

It is an arithmetic number, because the mean of its divisors is an integer number (889739928).

Almost surely, 2^87392976384 is an apocalyptic number.

87392976384 is a gapful number since it is divisible by the number (84) 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 87392976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142358388480).

87392976384 is an abundant number, since it is smaller than the sum of its proper divisors (197323800576).

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

87392976384 is a wasteful number, since it uses less digits than its factorization.

87392976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121 (or 7105 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 66.

The spelling of 87392976384 in words is "eighty-seven billion, three hundred ninety-two million, nine hundred seventy-six thousand, three hundred eighty-four".