4283027580672 has 864 divisors, whose sum is σ = 13740487488000. Its totient is φ = 1327613607936.

The previous prime is 4283027580647. The next prime is 4283027580679. The reversal of 4283027580672 is 2760857203824.

4283027580672 is a `hidden beast` number, since 4 + 2 + 8 + 30 + 27 + 580 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4283027580679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9539036704 + ... + 9539037152.

It is an arithmetic number, because the mean of its divisors is an integer number (15903342000).

Almost surely, 2^{4283027580672} 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 4283027580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870243744000).

4283027580672 is an abundant number, since it is smaller than the sum of its proper divisors (9457459907328).

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

4283027580672 is a wasteful number, since it uses less digits than its factorization.

4283027580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 4283027580672 in words is "four trillion, two hundred eighty-three billion, twenty-seven million, five hundred eighty thousand, six hundred seventy-two".