42863768640 has 672 divisors, whose sum is σ = 184732793856. Its totient is φ = 8862289920.

The previous prime is 42863768639. The next prime is 42863768657. The reversal of 42863768640 is 4686736824.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62757739 + ... + 62758421.

Almost surely, 2^42863768640 is an apocalyptic number.

42863768640 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 42863768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92366396928).

42863768640 is an abundant number, since it is smaller than the sum of its proper divisors (141869025216).

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

42863768640 is a wasteful number, since it uses less digits than its factorization.

42863768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 42863768640 in words is "forty-two billion, eight hundred sixty-three million, seven hundred sixty-eight thousand, six hundred forty".