61568168729472 has 768 divisors, whose sum is σ = 192518600601600. Its totient is φ = 19567427862528.

The previous prime is 61568168729471. The next prime is 61568168729497. The reversal of 61568168729472 is 27492786186516.

61568168729472 is a `hidden beast` number, since 6 + 1 + 5 + 6 + 81 + 6 + 8 + 72 + 9 + 472 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61568168729472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61568168729471) 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, 12455625433 + ... + 12455630375.

It is an arithmetic number, because the mean of its divisors is an integer number (250675261200).

Almost surely, 2^{61568168729472} 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 61568168729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96259300300800).

61568168729472 is an abundant number, since it is smaller than the sum of its proper divisors (130950431872128).

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

61568168729472 is a wasteful number, since it uses less digits than its factorization.

61568168729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5201 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 61568168729472 in words is "sixty-one trillion, five hundred sixty-eight billion, one hundred sixty-eight million, seven hundred twenty-nine thousand, four hundred seventy-two".