87764113440 has 96 divisors (see below), whose sum is σ = 307174412160. Its totient is φ = 23403762432.

The previous prime is 87764113439. The next prime is 87764113469. The reversal of 87764113440 is 4431146778.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10153564 + ... + 10162203.

It is an arithmetic number, because the mean of its divisors is an integer number (3199733460).

Almost surely, 2^87764113440 is an apocalyptic number.

87764113440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87764113440 is an abundant number, since it is smaller than the sum of its proper divisors (219410298720).

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

87764113440 is a wasteful number, since it uses less digits than its factorization.

87764113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20315791 (or 20315777 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 87764113440 in words is "eighty-seven billion, seven hundred sixty-four million, one hundred thirteen thousand, four hundred forty".