87624608569764 has 96 divisors (see below), whose sum is σ = 241206451347456. Its totient is φ = 24227678154240.

The previous prime is 87624608569763. The next prime is 87624608569807. The reversal of 87624608569764 is 46796580642678.

It is a self number, because there is not a number n which added to its sum of digits gives 87624608569764.

It is not an unprimeable number, because it can be changed into a prime (87624608569763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246168364 + ... + 246524060.

It is an arithmetic number, because the mean of its divisors is an integer number (2512567201536).

Almost surely, 2^{87624608569764} is an apocalyptic number.

87624608569764 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87624608569764 is an abundant number, since it is smaller than the sum of its proper divisors (153581842777692).

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

87624608569764 is a wasteful number, since it uses less digits than its factorization.

87624608569764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450345 (or 450343 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 78.

The spelling of 87624608569764 in words is "eighty-seven trillion, six hundred twenty-four billion, six hundred eight million, five hundred sixty-nine thousand, seven hundred sixty-four".