564263433900 has 288 divisors, whose sum is σ = 1929356513280. Its totient is φ = 140981437440.

The previous prime is 564263433893. The next prime is 564263433901. The reversal of 564263433900 is 9334362465.

564263433900 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 634 + 3 + 3 + 9 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (564263433901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10208137 + ... + 10263263.

It is an arithmetic number, because the mean of its divisors is an integer number (6699154560).

Almost surely, 2^564263433900 is an apocalyptic number.

564263433900 is a gapful number since it is divisible by the number (50) 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 564263433900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964678256640).

564263433900 is an abundant number, since it is smaller than the sum of its proper divisors (1365093079380).

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

564263433900 is a wasteful number, since it uses less digits than its factorization.

564263433900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55390 (or 55377 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 564263433900 in words is "five hundred sixty-four billion, two hundred sixty-three million, four hundred thirty-three thousand, nine hundred".