426429807509664 has 1536 divisors, whose sum is σ = 1541746483200000. Its totient is φ = 111975053930496.

The previous prime is 426429807509611. The next prime is 426429807509669. The reversal of 426429807509664 is 466905708924624.

It is a happy number.

426429807509664 is a `hidden beast` number, since 4 + 2 + 6 + 429 + 8 + 0 + 7 + 50 + 96 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 426429807509592 and 426429807509601.

It is not an unprimeable number, because it can be changed into a prime (426429807509669) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 209136736357 + ... + 209136738395.

It is an arithmetic number, because the mean of its divisors is an integer number (1003741200000).

Almost surely, 2^{426429807509664} 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 426429807509664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770873241600000).

426429807509664 is an abundant number, since it is smaller than the sum of its proper divisors (1115316675690336).

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

426429807509664 is a wasteful number, since it uses less digits than its factorization.

426429807509664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 426429807509664 in words is "four hundred twenty-six trillion, four hundred twenty-nine billion, eight hundred seven million, five hundred nine thousand, six hundred sixty-four".