87484353264 has 300 divisors, whose sum is σ = 318079818672. Its totient is φ = 22722923520.

The previous prime is 87484353247. The next prime is 87484353269. The reversal of 87484353264 is 46235348478.

87484353264 is a `hidden beast` number, since 8 + 7 + 4 + 8 + 43 + 532 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 87484353264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87484353269) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1057864 + ... + 1137560.

Almost surely, 2^87484353264 is an apocalyptic number.

87484353264 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 87484353264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159039909336).

87484353264 is an abundant number, since it is smaller than the sum of its proper divisors (230595465408).

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

87484353264 is a wasteful number, since it uses less digits than its factorization.

87484353264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79746 (or 79720 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 87484353264 in words is "eighty-seven billion, four hundred eighty-four million, three hundred fifty-three thousand, two hundred sixty-four".