32670640005120 has 1680 divisors, whose sum is σ = 128105386166160. Its totient is φ = 7692125995008.

The previous prime is 32670640005109. The next prime is 32670640005151. The reversal of 32670640005120 is 2150004607623.

32670640005120 is a `hidden beast` number, since 3 + 2 + 6 + 7 + 0 + 640 + 0 + 0 + 5 + 1 + 2 + 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 119 ways as a sum of consecutive naturals, for example, 305333084107 + ... + 305333084213.

Almost surely, 2^{32670640005120} is an apocalyptic number.

32670640005120 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 32670640005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64052693083080).

32670640005120 is an abundant number, since it is smaller than the sum of its proper divisors (95434746161040).

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

32670640005120 is an equidigital number, since it uses as much as digits as its factorization.

32670640005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 32670640005120 in words is "thirty-two trillion, six hundred seventy billion, six hundred forty million, five thousand, one hundred twenty".