4420468504764 has 480 divisors, whose sum is σ = 12813043320000. Its totient is φ = 1320609153024.

The previous prime is 4420468504741. The next prime is 4420468504801. The reversal of 4420468504764 is 4674058640244.

4420468504764 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 4 + 68 + 504 + 76 + 4 = 666.

It is a super-2 number, since 2×4420468504764² (a number of 26 digits) contains 22 as substring.

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 4420468504764.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 9845141212 + ... + 9845141660.

It is an arithmetic number, because the mean of its divisors is an integer number (26693840250).

Almost surely, 2^{4420468504764} 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 4420468504764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406521660000).

4420468504764 is an abundant number, since it is smaller than the sum of its proper divisors (8392574815236).

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

4420468504764 is a wasteful number, since it uses less digits than its factorization.

4420468504764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 4420468504764 in words is "four trillion, four hundred twenty billion, four hundred sixty-eight million, five hundred four thousand, seven hundred sixty-four".