42760507000 has 128 divisors (see below), whose sum is σ = 105886310400. Its totient is φ = 16117776000.

The previous prime is 42760506979. The next prime is 42760507043. The reversal of 42760507000 is 70506724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3623109 + ... + 3634891.

It is an arithmetic number, because the mean of its divisors is an integer number (827236800).

Almost surely, 2^42760507000 is an apocalyptic number.

42760507000 is a gapful number since it is divisible by the number (40) 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 42760507000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52943155200).

42760507000 is an abundant number, since it is smaller than the sum of its proper divisors (63125803400).

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

42760507000 is a wasteful number, since it uses less digits than its factorization.

42760507000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12014 (or 12000 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The spelling of 42760507000 in words is "forty-two billion, seven hundred sixty million, five hundred seven thousand".