4556457356880 has 320 divisors, whose sum is σ = 16681332326400. Its totient is φ = 1014287001600.

The previous prime is 4556457356879. The next prime is 4556457356909. The reversal of 4556457356880 is 886537546554.

It is a super-2 number, since 2×4556457356880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6207571 + ... + 6902669.

It is an arithmetic number, because the mean of its divisors is an integer number (52129163520).

Almost surely, 2^{4556457356880} is an apocalyptic number.

4556457356880 is a gapful number since it is divisible by the number (40) 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 4556457356880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340666163200).

4556457356880 is an abundant number, since it is smaller than the sum of its proper divisors (12124874969520).

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

4556457356880 is a wasteful number, since it uses less digits than its factorization.

4556457356880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695330 (or 695324 counting only the distinct ones).

The product of its (nonzero) digits is 483840000, while the sum is 66.

The spelling of 4556457356880 in words is "four trillion, five hundred fifty-six billion, four hundred fifty-seven million, three hundred fifty-six thousand, eight hundred eighty".