42767360064 has 504 divisors, whose sum is σ = 147490988736. Its totient is φ = 11679897600.

The previous prime is 42767360039. The next prime is 42767360101. The reversal of 42767360064 is 46006376724.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 415217037 + ... + 415217139.

Almost surely, 2^42767360064 is an apocalyptic number.

42767360064 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 42767360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73745494368).

42767360064 is an abundant number, since it is smaller than the sum of its proper divisors (104723628672).

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

42767360064 is a wasteful number, since it uses less digits than its factorization.

42767360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 42767360064 in words is "forty-two billion, seven hundred sixty-seven million, three hundred sixty thousand, sixty-four".