564071751936 has 1152 divisors, whose sum is σ = 2211993907200. Its totient is φ = 138499891200.

The previous prime is 564071751911. The next prime is 564071751937. The reversal of 564071751936 is 639157170465.

564071751936 is a `hidden beast` number, since 56 + 4 + 0 + 71 + 7 + 519 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (564071751937) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1223582746 + ... + 1223583206.

It is an arithmetic number, because the mean of its divisors is an integer number (1920133600).

Almost surely, 2^564071751936 is an apocalyptic number.

564071751936 is a gapful number since it is divisible by the number (56) 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 564071751936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105996953600).

564071751936 is an abundant number, since it is smaller than the sum of its proper divisors (1647922155264).

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

564071751936 is a wasteful number, since it uses less digits than its factorization.

564071751936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 564071751936 in words is "five hundred sixty-four billion, seventy-one million, seven hundred fifty-one thousand, nine hundred thirty-six".