426788683776 has 1536 divisors, whose sum is σ = 1709907763200. Its totient is φ = 103195607040.

The previous prime is 426788683753. The next prime is 426788683777. The reversal of 426788683776 is 677386887624.

426788683776 is a `hidden beast` number, since 426 + 78 + 8 + 68 + 3 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426788683777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13767376881 + ... + 13767376911.

It is an arithmetic number, because the mean of its divisors is an integer number (1113221200).

Almost surely, 2^426788683776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426788683776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854953881600).

426788683776 is an abundant number, since it is smaller than the sum of its proper divisors (1283119079424).

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

426788683776 is an equidigital number, since it uses as much as digits as its factorization.

426788683776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its digits is 910393344, while the sum is 72.

The spelling of 426788683776 in words is "four hundred twenty-six billion, seven hundred eighty-eight million, six hundred eighty-three thousand, seven hundred seventy-six".