87664061633520 has 640 divisors, whose sum is σ = 290122358980608. Its totient is φ = 21860538163200.

The previous prime is 87664061633507. The next prime is 87664061633539. The reversal of 87664061633520 is 2533616046678.

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, 15264503769 + ... + 15264509511.

Almost surely, 2^{87664061633520} is an apocalyptic number.

87664061633520 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 87664061633520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061179490304).

87664061633520 is an abundant number, since it is smaller than the sum of its proper divisors (202458297347088).

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

87664061633520 is a wasteful number, since it uses less digits than its factorization.

87664061633520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 87664061633520 in words is "eighty-seven trillion, six hundred sixty-four billion, sixty-one million, six hundred thirty-three thousand, five hundred twenty".