32475064320 has 576 divisors, whose sum is σ = 120772753920. Its totient is φ = 8360755200.

The previous prime is 32475064313. The next prime is 32475064327. The reversal of 32475064320 is 2346057423.

32475064320 is a `hidden beast` number, since 3 + 2 + 4 + 7 + 5 + 0 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32475064313) and next prime (32475064327).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (32475064327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77137710 + ... + 77138130.

It is an arithmetic number, because the mean of its divisors is an integer number (209674920).

Almost surely, 2^32475064320 is an apocalyptic number.

32475064320 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 32475064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60386376960).

32475064320 is an abundant number, since it is smaller than the sum of its proper divisors (88297689600).

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

32475064320 is an equidigital number, since it uses as much as digits as its factorization.

32475064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 32475064320 in words is "thirty-two billion, four hundred seventy-five million, sixty-four thousand, three hundred twenty".