564420766734 has 80 divisors (see below), whose sum is σ = 1380652390656. Its totient is φ = 170917938000.

The previous prime is 564420766709. The next prime is 564420766747. The reversal of 564420766734 is 437667024465.

564420766734 is a `hidden beast` number, since 5 + 64 + 420 + 76 + 67 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2476539 + ... + 2694825.

Almost surely, 2^564420766734 is an apocalyptic number.

564420766734 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 564420766734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690326195328).

564420766734 is an abundant number, since it is smaller than the sum of its proper divisors (816231623922).

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

564420766734 is a wasteful number, since it uses less digits than its factorization.

564420766734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219763 (or 219754 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 564420766734 in words is "five hundred sixty-four billion, four hundred twenty million, seven hundred sixty-six thousand, seven hundred thirty-four".