426920695382016 has 720 divisors, whose sum is σ = 1419992389670400. Its totient is φ = 122234241024000.

The previous prime is 426920695382009. The next prime is 426920695382021. The reversal of 426920695382016 is 610283596029624.

It is a happy number.

426920695382016 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 2 + 0 + 69 + 538 + 20 + 16 = 666.

It is a super-3 number, since 3×426920695382016³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11680118941 + ... + 11680155491.

It is an arithmetic number, because the mean of its divisors is an integer number (1972211652320).

Almost surely, 2^{426920695382016} 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 426920695382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709996194835200).

426920695382016 is an abundant number, since it is smaller than the sum of its proper divisors (993071694288384).

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

426920695382016 is a wasteful number, since it uses less digits than its factorization.

426920695382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36994 (or 36965 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 426920695382016 in words is "four hundred twenty-six trillion, nine hundred twenty billion, six hundred ninety-five million, three hundred eighty-two thousand, sixteen".