567913420800 has 1440 divisors, whose sum is σ = 2344603060800. Its totient is φ = 134701056000.

The previous prime is 567913420783. The next prime is 567913420807. The reversal of 567913420800 is 8024319765.

567913420800 is a `hidden beast` number, since 5 + 67 + 91 + 3 + 420 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (567913420807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2691532695 + ... + 2691532905.

It is an arithmetic number, because the mean of its divisors is an integer number (1628196570).

It is a 1-persistent number, because it is pandigital, but 2⋅567913420800 = 1135826841600 is not.

Almost surely, 2^567913420800 is an apocalyptic number.

567913420800 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 567913420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172301530400).

567913420800 is an abundant number, since it is smaller than the sum of its proper divisors (1776689640000).

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

567913420800 is a wasteful number, since it uses less digits than its factorization.

567913420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 567913420800 in words is "five hundred sixty-seven billion, nine hundred thirteen million, four hundred twenty thousand, eight hundred".