32606468849664 has 2400 divisors, whose sum is σ = 116812729756800. Its totient is φ = 8989483991040.

The previous prime is 32606468849657. The next prime is 32606468849677. The reversal of 32606468849664 is 46694886460623.

32606468849664 is a `hidden beast` number, since 3 + 2 + 60 + 6 + 468 + 8 + 49 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 32606468849592 and 32606468849601.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 534532276194 + ... + 534532276254.

It is an arithmetic number, because the mean of its divisors is an integer number (48671970732).

Almost surely, 2^{32606468849664} is an apocalyptic number.

32606468849664 is a gapful number since it is divisible by the number (34) 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 32606468849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58406364878400).

32606468849664 is an abundant number, since it is smaller than the sum of its proper divisors (84206260907136).

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

32606468849664 is a wasteful number, since it uses less digits than its factorization.

32606468849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 72.

The spelling of 32606468849664 in words is "thirty-two trillion, six hundred six billion, four hundred sixty-eight million, eight hundred forty-nine thousand, six hundred sixty-four".