563970760704 has 1344 divisors, whose sum is σ = 2030422517760. Its totient is φ = 154793410560.

The previous prime is 563970760657. The next prime is 563970760709. The reversal of 563970760704 is 407067079365.

563970760704 is a `hidden beast` number, since 563 + 9 + 7 + 0 + 7 + 6 + 0 + 70 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563970760709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15242452974 + ... + 15242453010.

It is an arithmetic number, because the mean of its divisors is an integer number (1510731040).

Almost surely, 2^563970760704 is an apocalyptic number.

563970760704 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 563970760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015211258880).

563970760704 is an abundant number, since it is smaller than the sum of its proper divisors (1466451757056).

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

563970760704 is a wasteful number, since it uses less digits than its factorization.

563970760704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 563970760704 in words is "five hundred sixty-three billion, nine hundred seventy million, seven hundred sixty thousand, seven hundred four".