87683746752 has 588 divisors, whose sum is σ = 317055428880. Its totient is φ = 23553441792.

The previous prime is 87683746747. The next prime is 87683746753. The reversal of 87683746752 is 25764738678.

87683746752 is a `hidden beast` number, since 87 + 68 + 37 + 467 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 87683746752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87683746753) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 94384624 + ... + 94385552.

Almost surely, 2^87683746752 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 87683746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158527714440).

87683746752 is an abundant number, since it is smaller than the sum of its proper divisors (229371682128).

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

87683746752 is an equidigital number, since it uses as much as digits as its factorization.

87683746752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 958 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 87683746752 in words is "eighty-seven billion, six hundred eighty-three million, seven hundred forty-six thousand, seven hundred fifty-two".