426868553664 has 840 divisors, whose sum is σ = 1533769205760. Its totient is φ = 116919936000.

The previous prime is 426868553621. The next prime is 426868553689. The reversal of 426868553664 is 466355868624.

It is a happy number.

426868553664 is a `hidden beast` number, since 4 + 268 + 6 + 8 + 5 + 5 + 366 + 4 = 666.

It is a super-3 number, since 3×426868553664³ (a number of 36 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1189048717 + ... + 1189049075.

Almost surely, 2^426868553664 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 426868553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766884602880).

426868553664 is an abundant number, since it is smaller than the sum of its proper divisors (1106900652096).

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

426868553664 is a wasteful number, since it uses less digits than its factorization.

426868553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 553 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 426868553664 in words is "four hundred twenty-six billion, eight hundred sixty-eight million, five hundred fifty-three thousand, six hundred sixty-four".