4221627466464 has 96 divisors (see below), whose sum is σ = 12313541399040. Its totient is φ = 1407156437376.

The previous prime is 4221627466439. The next prime is 4221627466481. The reversal of 4221627466464 is 4646647261224.

4221627466464 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 627 + 4 + 6 + 6 + 4 + 6 + 4 = 666.

4221627466464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4221627466464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27955449 + ... + 28106055.

It is an arithmetic number, because the mean of its divisors is an integer number (128266056240).

Almost surely, 2^{4221627466464} is an apocalyptic number.

It is an amenable number.

4221627466464 is an abundant number, since it is smaller than the sum of its proper divisors (8091913932576).

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

4221627466464 is a wasteful number, since it uses less digits than its factorization.

4221627466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183069 (or 183055 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 4221627466464 in words is "four trillion, two hundred twenty-one billion, six hundred twenty-seven million, four hundred sixty-six thousand, four hundred sixty-four".