4563199354560 has 504 divisors, whose sum is σ = 18525023178480. Its totient is φ = 948196085760.

The previous prime is 4563199354547. The next prime is 4563199354573. The reversal of 4563199354560 is 654539913654.

It is an interprime number because it is at equal distance from previous prime (4563199354547) and next prime (4563199354573).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4563199354494 and 4563199354503.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5290986 + ... + 6092694.

It is an arithmetic number, because the mean of its divisors is an integer number (36755998370).

Almost surely, 2^{4563199354560} is an apocalyptic number.

4563199354560 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 4563199354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9262511589240).

4563199354560 is an abundant number, since it is smaller than the sum of its proper divisors (13961823823920).

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

4563199354560 is a wasteful number, since it uses less digits than its factorization.

4563199354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801765 (or 801737 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 60.

The spelling of 4563199354560 in words is "four trillion, five hundred sixty-three billion, one hundred ninety-nine million, three hundred fifty-four thousand, five hundred sixty".