87015464640 has 336 divisors, whose sum is σ = 323581946688. Its totient is φ = 21335334912.

The previous prime is 87015464629. The next prime is 87015464747. The reversal of 87015464640 is 4646451078.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9842302 + ... + 9851138.

It is an arithmetic number, because the mean of its divisors is an integer number (963041508).

Almost surely, 2^87015464640 is an apocalyptic number.

87015464640 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 87015464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161790973344).

87015464640 is an abundant number, since it is smaller than the sum of its proper divisors (236566482048).

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

87015464640 is a wasteful number, since it uses less digits than its factorization.

87015464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9123 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 87015464640 in words is "eighty-seven billion, fifteen million, four hundred sixty-four thousand, six hundred forty".