4466767890816 has 1024 divisors, whose sum is σ = 16829510400000. Its totient is φ = 1156199546880.

The previous prime is 4466767890811. The next prime is 4466767890877. The reversal of 4466767890816 is 6180987676644.

4466767890816 is a `hidden beast` number, since 4 + 466 + 7 + 6 + 7 + 89 + 0 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466767890811) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6637099056 + ... + 6637099728.

It is an arithmetic number, because the mean of its divisors is an integer number (16435068750).

Almost surely, 2^{4466767890816} 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 4466767890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414755200000).

4466767890816 is an abundant number, since it is smaller than the sum of its proper divisors (12362742509184).

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

4466767890816 is a wasteful number, since it uses less digits than its factorization.

4466767890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 4466767890816 in words is "four trillion, four hundred sixty-six billion, seven hundred sixty-seven million, eight hundred ninety thousand, eight hundred sixteen".