32648287680 has 280 divisors, whose sum is σ = 116794117440. Its totient is φ = 8656865280.

The previous prime is 32648287669. The next prime is 32648287697. The reversal of 32648287680 is 8678284623.

32648287680 is a `hidden beast` number, since 3 + 2 + 6 + 482 + 87 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 4688041 + ... + 4694999.

It is an arithmetic number, because the mean of its divisors is an integer number (417121848).

Almost surely, 2^32648287680 is an apocalyptic number.

32648287680 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 32648287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58397058720).

32648287680 is an abundant number, since it is smaller than the sum of its proper divisors (84145829760).

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

32648287680 is a wasteful number, since it uses less digits than its factorization.

32648287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 32648287680 in words is "thirty-two billion, six hundred forty-eight million, two hundred eighty-seven thousand, six hundred eighty".