32145640000 has 280 divisors, whose sum is σ = 86533119288. Its totient is φ = 11796480000.

The previous prime is 32145639979. The next prime is 32145640027. The reversal of 32145640000 is 4654123.

It can be written as a sum of positive squares in 20 ways, for example, as 31609995264 + 535644736 = 177792^2 + 23144^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27879424 + ... + 27880576.

Almost surely, 2^32145640000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32145640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43266559644).

32145640000 is an abundant number, since it is smaller than the sum of its proper divisors (54387479288).

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

32145640000 is a wasteful number, since it uses less digits than its factorization.

32145640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 32145640000 in words is "thirty-two billion, one hundred forty-five million, six hundred forty thousand".