87937464384 has 252 divisors, whose sum is σ = 316635172672. Its totient is φ = 22840773120.

The previous prime is 87937464379. The next prime is 87937464401. The reversal of 87937464384 is 48346473978.

It is a happy number.

87937464384 is a `hidden beast` number, since 8 + 7 + 93 + 7 + 464 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 397749 + ... + 577995.

Almost surely, 2^87937464384 is an apocalyptic number.

87937464384 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 87937464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158317586336).

87937464384 is an abundant number, since it is smaller than the sum of its proper divisors (228697708288).

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

87937464384 is a wasteful number, since it uses less digits than its factorization.

87937464384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180294 (or 180270 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 87937464384 in words is "eighty-seven billion, nine hundred thirty-seven million, four hundred sixty-four thousand, three hundred eighty-four".