426870569664 has 336 divisors, whose sum is σ = 1578068593920. Its totient is φ = 107051857920.

The previous prime is 426870569663. The next prime is 426870569683. The reversal of 426870569664 is 466965078624.

426870569664 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 7 + 0 + 569 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×426870569664³ (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 not an unprimeable number, because it can be changed into a prime (426870569663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120267 + ... + 1452149.

It is an arithmetic number, because the mean of its divisors is an integer number (4696632720).

Almost surely, 2^426870569664 is an apocalyptic number.

426870569664 is a gapful number since it is divisible by the number (44) 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 426870569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789034296960).

426870569664 is an abundant number, since it is smaller than the sum of its proper divisors (1151198024256).

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

426870569664 is a wasteful number, since it uses less digits than its factorization.

426870569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331948 (or 331935 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 426870569664 in words is "four hundred twenty-six billion, eight hundred seventy million, five hundred sixty-nine thousand, six hundred sixty-four".