4526664105600 has 2304 divisors, whose sum is σ = 20612455718400. Its totient is φ = 920479334400.

The previous prime is 4526664105521. The next prime is 4526664105659. The reversal of 4526664105600 is 65014666254.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11067638196 + ... + 11067638604.

It is an arithmetic number, because the mean of its divisors is an integer number (8946378350).

Almost surely, 2^{4526664105600} is an apocalyptic number.

4526664105600 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 4526664105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10306227859200).

4526664105600 is an abundant number, since it is smaller than the sum of its proper divisors (16085791612800).

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

4526664105600 is a wasteful number, since it uses less digits than its factorization.

4526664105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4526664105600 in words is "four trillion, five hundred twenty-six billion, six hundred sixty-four million, one hundred five thousand, six hundred".