87467933664768 has 160 divisors (see below), whose sum is σ = 233943064185600. Its totient is φ = 29040716128256.

The previous prime is 87467933664757. The next prime is 87467933664821. The reversal of 87467933664768 is 86746633976478.

It is a super-2 number, since 2×87467933664768² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393146263 + ... + 393368681.

It is an arithmetic number, because the mean of its divisors is an integer number (1462144151160).

Almost surely, 2^{87467933664768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87467933664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116971532092800).

87467933664768 is an abundant number, since it is smaller than the sum of its proper divisors (146475130520832).

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

87467933664768 is a wasteful number, since it uses less digits than its factorization.

87467933664768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223452 (or 223436 counting only the distinct ones).

The product of its digits is 36870930432, while the sum is 84.

The spelling of 87467933664768 in words is "eighty-seven trillion, four hundred sixty-seven billion, nine hundred thirty-three million, six hundred sixty-four thousand, seven hundred sixty-eight".