4722773134464 has 768 divisors, whose sum is σ = 18290296627200. Its totient is φ = 1132884910080.

The previous prime is 4722773134447. The next prime is 4722773134517. The reversal of 4722773134464 is 4644313772274.

4722773134464 is a `hidden beast` number, since 4 + 7 + 227 + 7 + 313 + 44 + 64 = 666.

It is a super-2 number, since 2×4722773134464² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4722773134464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59125657 + ... + 59205479.

It is an arithmetic number, because the mean of its divisors is an integer number (23815490400).

Almost surely, 2^{4722773134464} is an apocalyptic number.

4722773134464 is a gapful number since it is divisible by the number (44) 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 4722773134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145148313600).

4722773134464 is an abundant number, since it is smaller than the sum of its proper divisors (13567523492736).

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

4722773134464 is a wasteful number, since it uses less digits than its factorization.

4722773134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79913 (or 79898 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 54.

The spelling of 4722773134464 in words is "four trillion, seven hundred twenty-two billion, seven hundred seventy-three million, one hundred thirty-four thousand, four hundred sixty-four".