42667880640 has 448 divisors, whose sum is σ = 169455144960. Its totient is φ = 8836853760.

The previous prime is 42667880581. The next prime is 42667880683. The reversal of 42667880640 is 4608876624.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28014919 + ... + 28016441.

Almost surely, 2^42667880640 is an apocalyptic number.

42667880640 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 42667880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84727572480).

42667880640 is an abundant number, since it is smaller than the sum of its proper divisors (126787264320).

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

42667880640 is a wasteful number, since it uses less digits than its factorization.

42667880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 42667880640 in words is "forty-two billion, six hundred sixty-seven million, eight hundred eighty thousand, six hundred forty".