32487820848648 has 320 divisors, whose sum is σ = 100042090727040. Its totient is φ = 9768211200000.

The previous prime is 32487820848619. The next prime is 32487820848727. The reversal of 32487820848648 is 84684802878423.

32487820848648 is a `hidden beast` number, since 3 + 2 + 4 + 87 + 8 + 20 + 8 + 486 + 48 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 948227838 + ... + 948262098.

It is an arithmetic number, because the mean of its divisors is an integer number (312631533522).

Almost surely, 2^{32487820848648} 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 32487820848648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50021045363520).

32487820848648 is an abundant number, since it is smaller than the sum of its proper divisors (67554269878392).

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

32487820848648 is a wasteful number, since it uses less digits than its factorization.

32487820848648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35322 (or 35309 counting only the distinct ones).

The product of its (nonzero) digits is 1056964608, while the sum is 72.

The spelling of 32487820848648 in words is "thirty-two trillion, four hundred eighty-seven billion, eight hundred twenty million, eight hundred forty-eight thousand, six hundred forty-eight".