566676152064 has 864 divisors, whose sum is σ = 1949505062400. Its totient is φ = 161917747200.

The previous prime is 566676152051. The next prime is 566676152089. The reversal of 566676152064 is 460251676665.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×566676152064² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 566676152064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1712012379 + ... + 1712012709.

It is an arithmetic number, because the mean of its divisors is an integer number (2256371600).

Almost surely, 2^566676152064 is an apocalyptic number.

566676152064 is a gapful number since it is divisible by the number (54) 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 566676152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974752531200).

566676152064 is an abundant number, since it is smaller than the sum of its proper divisors (1382828910336).

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

566676152064 is a wasteful number, since it uses less digits than its factorization.

566676152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 566676152064 in words is "five hundred sixty-six billion, six hundred seventy-six million, one hundred fifty-two thousand, sixty-four".