426707688960 has 1920 divisors, whose sum is σ = 1887479193600. Its totient is φ = 90296156160.

The previous prime is 426707688907. The next prime is 426707688983. The reversal of 426707688960 is 69886707624.

426707688960 is a `hidden beast` number, since 426 + 7 + 0 + 76 + 8 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3914749386 + ... + 3914749494.

It is an arithmetic number, because the mean of its divisors is an integer number (983062080).

Almost surely, 2^426707688960 is an apocalyptic number.

426707688960 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 426707688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943739596800).

426707688960 is an abundant number, since it is smaller than the sum of its proper divisors (1460771504640).

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

426707688960 is a wasteful number, since it uses less digits than its factorization.

426707688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 426707688960 in words is "four hundred twenty-six billion, seven hundred seven million, six hundred eighty-eight thousand, nine hundred sixty".