87974306784 has 648 divisors, whose sum is σ = 324493533000. Its totient is φ = 22408565760.

The previous prime is 87974306747. The next prime is 87974306879. The reversal of 87974306784 is 48760347978.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 176300967 + ... + 176301465.

It is an arithmetic number, because the mean of its divisors is an integer number (500761625).

Almost surely, 2^87974306784 is an apocalyptic number.

87974306784 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87974306784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162246766500).

87974306784 is an abundant number, since it is smaller than the sum of its proper divisors (236519226216).

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

87974306784 is a wasteful number, since it uses less digits than its factorization.

87974306784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 87974306784 in words is "eighty-seven billion, nine hundred seventy-four million, three hundred six thousand, seven hundred eighty-four".