42645054624 has 96 divisors (see below), whose sum is σ = 113954480640. Its totient is φ = 13960111872.

The previous prime is 42645054619. The next prime is 42645054631.

42645054624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6719997 + ... + 6726339.

It is an arithmetic number, because the mean of its divisors is an integer number (1187025840).

Almost surely, 2^42645054624 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 42645054624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56977240320).

42645054624 is an abundant number, since it is smaller than the sum of its proper divisors (71309426016).

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

42645054624 is a wasteful number, since it uses less digits than its factorization.

42645054624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7602 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 42645054624 in words is "forty-two billion, six hundred forty-five million, fifty-four thousand, six hundred twenty-four".