32864752274130 has 256 divisors, whose sum is σ = 100412147404800. Its totient is φ = 7492997422080.

The previous prime is 32864752274129. The next prime is 32864752274161. The reversal of 32864752274130 is 3147225746823.

32864752274130 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 47 + 522 + 7 + 41 + 30 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1411037785 + ... + 1411061075.

It is an arithmetic number, because the mean of its divisors is an integer number (392234950800).

Almost surely, 2^{32864752274130} is an apocalyptic number.

32864752274130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32864752274130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50206073702400).

32864752274130 is an abundant number, since it is smaller than the sum of its proper divisors (67547395130670).

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

32864752274130 is a wasteful number, since it uses less digits than its factorization.

32864752274130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25166 (or 25160 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 32864752274130 in words is "thirty-two trillion, eight hundred sixty-four billion, seven hundred fifty-two million, two hundred seventy-four thousand, one hundred thirty".