87374621680 has 40 divisors (see below), whose sum is σ = 203901235200. Its totient is φ = 34819915008.

The previous prime is 87374621617. The next prime is 87374621683. The reversal of 87374621680 is 8612647378.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87374621683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2008560 + ... + 2051599.

It is an arithmetic number, because the mean of its divisors is an integer number (5097530880).

Almost surely, 2^87374621680 is an apocalyptic number.

87374621680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87374621680 is an abundant number, since it is smaller than the sum of its proper divisors (116526613520).

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

87374621680 is a wasteful number, since it uses less digits than its factorization.

87374621680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060441 (or 4060435 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 87374621680 in words is "eighty-seven billion, three hundred seventy-four million, six hundred twenty-one thousand, six hundred eighty".