4493701884672 has 3456 divisors, whose sum is σ = 19466865008640. Its totient is φ = 1003290624000.

The previous prime is 4493701884667. The next prime is 4493701884701. The reversal of 4493701884672 is 2764881073944.

4493701884672 is a `hidden beast` number, since 4 + 4 + 93 + 7 + 0 + 1 + 88 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61557560028 + ... + 61557560100.

It is an arithmetic number, because the mean of its divisors is an integer number (5632773440).

Almost surely, 2^{4493701884672} is an apocalyptic number.

4493701884672 is a gapful number since it is divisible by the number (42) 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 4493701884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733432504320).

4493701884672 is an abundant number, since it is smaller than the sum of its proper divisors (14973163123968).

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

4493701884672 is a wasteful number, since it uses less digits than its factorization.

4493701884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 4493701884672 in words is "four trillion, four hundred ninety-three billion, seven hundred one million, eight hundred eighty-four thousand, six hundred seventy-two".