6732252684864 has 448 divisors, whose sum is σ = 23372876800000. Its totient is φ = 1899139447296.

The previous prime is 6732252684823. The next prime is 6732252684881. The reversal of 6732252684864 is 4684862522376.

6732252684864 is a `hidden beast` number, since 6 + 7 + 3 + 2 + 2 + 526 + 8 + 48 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46751727 + ... + 46895505.

It is an arithmetic number, because the mean of its divisors is an integer number (52171600000).

Almost surely, 2^{6732252684864} is an apocalyptic number.

6732252684864 is a gapful number since it is divisible by the number (64) 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 6732252684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686438400000).

6732252684864 is an abundant number, since it is smaller than the sum of its proper divisors (16640624115136).

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

6732252684864 is a wasteful number, since it uses less digits than its factorization.

6732252684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143900 (or 143870 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 6732252684864 in words is "six trillion, seven hundred thirty-two billion, two hundred fifty-two million, six hundred eighty-four thousand, eight hundred sixty-four".