564834394514880 has 2688 divisors, whose sum is σ = 2440901291212800. Its totient is φ = 122436069654528.

The previous prime is 564834394514861. The next prime is 564834394514899. The reversal of 564834394514880 is 88415493438465.

564834394514880 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 3 + 4 + 3 + 94 + 51 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564834394514861) and next prime (564834394514899).

It is a super-2 number, since 2×564834394514880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 564834394514799 and 564834394514808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 160601190882 + ... + 160601194398.

Almost surely, 2^{564834394514880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564834394514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220450645606400).

564834394514880 is an abundant number, since it is smaller than the sum of its proper divisors (1876066896697920).

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

564834394514880 is a wasteful number, since it uses less digits than its factorization.

564834394514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 1592524800, while the sum is 72.

The spelling of 564834394514880 in words is "five hundred sixty-four trillion, eight hundred thirty-four billion, three hundred ninety-four million, five hundred fourteen thousand, eight hundred eighty".