564673462272000 has 2880 divisors, whose sum is σ = 2260184564461824. Its totient is φ = 140346025574400.

The previous prime is 564673462271981. The next prime is 564673462272013. The reversal of 564673462272000 is 272264376465.

564673462272000 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 7 + 3 + 4 + 622 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×564673462272000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5482266623949 + ... + 5482266624051.

Almost surely, 2^{564673462272000} is an apocalyptic number.

564673462272000 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 564673462272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130092282230912).

564673462272000 is an abundant number, since it is smaller than the sum of its proper divisors (1695511102189824).

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

564673462272000 is an frugal number, since it uses more digits than its factorization.

564673462272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 130 counting only the distinct ones).

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

The spelling of 564673462272000 in words is "five hundred sixty-four trillion, six hundred seventy-three billion, four hundred sixty-two million, two hundred seventy-two thousand".