87329568480 has 768 divisors, whose sum is σ = 378993033216. Its totient is φ = 16333701120.

The previous prime is 87329568479. The next prime is 87329568541. The reversal of 87329568480 is 8486592378.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14448339 + ... + 14454381.

It is an arithmetic number, because the mean of its divisors is an integer number (493480512).

Almost surely, 2^87329568480 is an apocalyptic number.

87329568480 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 87329568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189496516608).

87329568480 is an abundant number, since it is smaller than the sum of its proper divisors (291663464736).

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

87329568480 is a wasteful number, since it uses less digits than its factorization.

87329568480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 87329568480 in words is "eighty-seven billion, three hundred twenty-nine million, five hundred sixty-eight thousand, four hundred eighty".