3262656648240 has 640 divisors, whose sum is σ = 13466052403200. Its totient is φ = 716736936960.

The previous prime is 3262656648239. The next prime is 3262656648313. The reversal of 3262656648240 is 428466562623.

3262656648240 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 65 + 66 + 482 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10226007 + ... + 10540233.

It is an arithmetic number, because the mean of its divisors is an integer number (21040706880).

Almost surely, 2^{3262656648240} is an apocalyptic number.

3262656648240 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 3262656648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733026201600).

3262656648240 is an abundant number, since it is smaller than the sum of its proper divisors (10203395754960).

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

3262656648240 is a wasteful number, since it uses less digits than its factorization.

3262656648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314302 (or 314290 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 3262656648240 in words is "three trillion, two hundred sixty-two billion, six hundred fifty-six million, six hundred forty-eight thousand, two hundred forty".