42664544546624 has 224 divisors, whose sum is σ = 113681924219136. Its totient is φ = 15342642708480.

The previous prime is 42664544546573. The next prime is 42664544546777.

42664544546624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×42664544546624² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203937034 + ... + 1203972470.

It is an arithmetic number, because the mean of its divisors is an integer number (507508590264).

Almost surely, 2^{42664544546624} is an apocalyptic number.

42664544546624 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 42664544546624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56840962109568).

42664544546624 is an abundant number, since it is smaller than the sum of its proper divisors (71017379672512).

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

42664544546624 is a wasteful number, since it uses less digits than its factorization.

42664544546624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54273 (or 54263 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 62.

The spelling of 42664544546624 in words is "forty-two trillion, six hundred sixty-four billion, five hundred forty-four million, five hundred forty-six thousand, six hundred twenty-four".