8281937664 has 1296 divisors, whose sum is σ = 35623486080. Its totient is φ = 1881169920.

The previous prime is 8281937641. The next prime is 8281937687. The reversal of 8281937664 is 4667391828.

It is an interprime number because it is at equal distance from previous prime (8281937641) and next prime (8281937687).

It is a tau number, because it is divible by the number of its divisors (1296).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 8281937664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 435891447 + ... + 435891465.

Almost surely, 2^8281937664 is an apocalyptic number.

8281937664 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 8281937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811743040).

8281937664 is an abundant number, since it is smaller than the sum of its proper divisors (27341548416).

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

8281937664 is a wasteful number, since it uses less digits than its factorization.

8281937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 8281937664 is about 91005.1518541670. The cubic root of 8281937664 is about 2023.2240824884.

The spelling of 8281937664 in words is "eight billion, two hundred eighty-one million, nine hundred thirty-seven thousand, six hundred sixty-four".