42647274624 has 128 divisors (see below), whose sum is σ = 114433228800. Its totient is φ = 14071809024.

The previous prime is 42647274623. The next prime is 42647274653.

42647274624 is nontrivially palindromic in base 10.

42647274624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42647274623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32137449 + ... + 32138775.

It is an arithmetic number, because the mean of its divisors is an integer number (894009600).

Almost surely, 2^42647274624 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 42647274624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57216614400).

42647274624 is an abundant number, since it is smaller than the sum of its proper divisors (71785954176).

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

42647274624 is a wasteful number, since it uses less digits than its factorization.

42647274624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2118 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 48.

42647274624 divided by its sum of digits (48) gives a palindrome (888484888).

The spelling of 42647274624 in words is "forty-two billion, six hundred forty-seven million, two hundred seventy-four thousand, six hundred twenty-four".