564481742400 has 315 divisors, whose sum is σ = 2075887568689. Its totient is φ = 150456337920.

The previous prime is 564481742371. The next prime is 564481742431. The reversal of 564481742400 is 4247184465.

The square root of 564481742400 is 751320.

It is a perfect power (a square), and thus also a powerful number.

564481742400 is a `hidden beast` number, since 5 + 64 + 481 + 74 + 2 + 40 + 0 = 666.

564481742400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 203213427264 + 361268315136 = 450792^2 + 601056^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 270474157 + ... + 270476243.

Almost surely, 2^564481742400 is an apocalyptic number.

564481742400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564481742400 is the 751320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564481742400

564481742400 is an abundant number, since it is smaller than the sum of its proper divisors (1511405826289).

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

564481742400 is an frugal number, since it uses more digits than its factorization.

564481742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 564481742400 in words is "five hundred sixty-four billion, four hundred eighty-one million, seven hundred forty-two thousand, four hundred".