32306130470520 has 320 divisors, whose sum is σ = 112799589819840. Its totient is φ = 8286466406400.

The previous prime is 32306130470501. The next prime is 32306130470543. The reversal of 32306130470520 is 2507403160323.

32306130470520 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 6 + 130 + 470 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7718994 + ... + 11144286.

It is an arithmetic number, because the mean of its divisors is an integer number (352498718187).

Almost surely, 2^{32306130470520} is an apocalyptic number.

32306130470520 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 32306130470520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56399794909920).

32306130470520 is an abundant number, since it is smaller than the sum of its proper divisors (80493459349320).

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

32306130470520 is a wasteful number, since it uses less digits than its factorization.

32306130470520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425428 (or 3425415 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 32306130470520 in words is "thirty-two trillion, three hundred six billion, one hundred thirty million, four hundred seventy thousand, five hundred twenty".