32645873568 has 768 divisors, whose sum is σ = 121126440960. Its totient is φ = 7493713920.

The previous prime is 32645873563. The next prime is 32645873593. The reversal of 32645873568 is 86537854623.

It is a super-2 number, since 2×32645873568² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (32645873563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288901480 + ... + 288901592.

It is an arithmetic number, because the mean of its divisors is an integer number (157716720).

Almost surely, 2^32645873568 is an apocalyptic number.

32645873568 is a gapful number since it is divisible by the number (38) 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 32645873568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60563220480).

32645873568 is an abundant number, since it is smaller than the sum of its proper divisors (88480567392).

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

32645873568 is a wasteful number, since it uses less digits than its factorization.

32645873568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 32645873568 in words is "thirty-two billion, six hundred forty-five million, eight hundred seventy-three thousand, five hundred sixty-eight".