32264863488 has 864 divisors, whose sum is σ = 117781493760. Its totient is φ = 8734003200.

The previous prime is 32264863481. The next prime is 32264863489. The reversal of 32264863488 is 88436846223.

32264863488 is a `hidden beast` number, since 3 + 22 + 64 + 86 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×32264863488² (a number of 22 digits) contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (32264863481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1040802033 + ... + 1040802063.

Almost surely, 2^32264863488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32264863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58890746880).

32264863488 is an abundant number, since it is smaller than the sum of its proper divisors (85516630272).

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

32264863488 is an equidigital number, since it uses as much as digits as its factorization.

32264863488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 32264863488 in words is "thirty-two billion, two hundred sixty-four million, eight hundred sixty-three thousand, four hundred eighty-eight".