42067538864 has 80 divisors (see below), whose sum is σ = 89088672960. Its totient is φ = 19126947840.

The previous prime is 42067538831. The next prime is 42067538879. The reversal of 42067538864 is 46883576024.

It is a happy number.

It is a super-3 number, since 3×42067538864³ (a number of 33 digits) contains 333 as substring.

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, 5197829 + ... + 5205915.

It is an arithmetic number, because the mean of its divisors is an integer number (1113608412).

Almost surely, 2^42067538864 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 42067538864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44544336480).

42067538864 is an abundant number, since it is smaller than the sum of its proper divisors (47021134096).

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

42067538864 is a wasteful number, since it uses less digits than its factorization.

42067538864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 42067538864 in words is "forty-two billion, sixty-seven million, five hundred thirty-eight thousand, eight hundred sixty-four".