32873528682720 has 2304 divisors, whose sum is σ = 135188186112000. Its totient is φ = 7482353356800.

The previous prime is 32873528682703. The next prime is 32873528682737. The reversal of 32873528682720 is 2728682537823.

32873528682720 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 3 + 528 + 6 + 82 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (32873528682703) and next prime (32873528682737).

It is a super-2 number, since 2×32873528682720² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 220627709206 + ... + 220627709354.

It is an arithmetic number, because the mean of its divisors is an integer number (58675428000).

Almost surely, 2^{32873528682720} is an apocalyptic number.

32873528682720 is a gapful number since it is divisible by the number (30) 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 32873528682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67594093056000).

32873528682720 is an abundant number, since it is smaller than the sum of its proper divisors (102314657429280).

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

32873528682720 is a wasteful number, since it uses less digits than its factorization.

32873528682720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 32873528682720 in words is "thirty-two trillion, eight hundred seventy-three billion, five hundred twenty-eight million, six hundred eighty-two thousand, seven hundred twenty".