42402626064 has 80 divisors (see below), whose sum is σ = 121934427840. Its totient is φ = 14108290560.

The previous prime is 42402626027. The next prime is 42402626107. The reversal of 42402626064 is 46062620424.

42402626064 is a `hidden beast` number, since 4 + 2 + 40 + 2 + 6 + 2 + 606 + 4 = 666.

42402626064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 146584 + ... + 326024.

It is an arithmetic number, because the mean of its divisors is an integer number (1524180348).

Almost surely, 2^42402626064 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 42402626064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60967213920).

42402626064 is an abundant number, since it is smaller than the sum of its proper divisors (79531801776).

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

42402626064 is a wasteful number, since it uses less digits than its factorization.

42402626064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180005 (or 179993 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42402626064 in words is "forty-two billion, four hundred two million, six hundred twenty-six thousand, sixty-four".