87767701632 has 320 divisors, whose sum is σ = 285514891200. Its totient is φ = 26599643136.

The previous prime is 87767701597. The next prime is 87767701633. The reversal of 87767701632 is 23610776778.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87767701633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9025669 + ... + 9035387.

It is an arithmetic number, because the mean of its divisors is an integer number (892234035).

Almost surely, 2^87767701632 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 87767701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142757445600).

87767701632 is an abundant number, since it is smaller than the sum of its proper divisors (197747189568).

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

87767701632 is a wasteful number, since it uses less digits than its factorization.

87767701632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9804 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 87767701632 in words is "eighty-seven billion, seven hundred sixty-seven million, seven hundred one thousand, six hundred thirty-two".