32540946480000 has 3840 divisors, whose sum is σ = 149151124362240. Its totient is φ = 6897623040000.

The previous prime is 32540946479981. The next prime is 32540946480013. The reversal of 32540946480000 is 8464904523.

32540946480000 is a `hidden beast` number, since 32 + 54 + 0 + 94 + 6 + 480 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 115804079860 + ... + 115804080140.

It is an arithmetic number, because the mean of its divisors is an integer number (38841438636).

Almost surely, 2^{32540946480000} is an apocalyptic number.

32540946480000 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 32540946480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74575562181120).

32540946480000 is an abundant number, since it is smaller than the sum of its proper divisors (116610177882240).

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

32540946480000 is an equidigital number, since it uses as much as digits as its factorization.

32540946480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 32540946480000 in words is "thirty-two trillion, five hundred forty billion, nine hundred forty-six million, four hundred eighty thousand".