87366376944 has 960 divisors, whose sum is σ = 337294983168. Its totient is φ = 20437401600.

The previous prime is 87366376939. The next prime is 87366377017. The reversal of 87366376944 is 44967366378.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 339946864 + ... + 339947120.

Almost surely, 2^87366376944 is an apocalyptic number.

87366376944 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 87366376944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168647491584).

87366376944 is an abundant number, since it is smaller than the sum of its proper divisors (249928606224).

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

87366376944 is a wasteful number, since it uses less digits than its factorization.

87366376944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 87366376944 in words is "eighty-seven billion, three hundred sixty-six million, three hundred seventy-six thousand, nine hundred forty-four".