61827375168 has 280 divisors, whose sum is σ = 198418335192. Its totient is φ = 18923175936.

The previous prime is 61827375139. The next prime is 61827375187. The reversal of 61827375168 is 86157372816.

It is a happy number.

61827375168 is a `hidden beast` number, since 618 + 2 + 7 + 3 + 7 + 5 + 16 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5510389824 + 56316985344 = 74232^2 + 237312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13273896 + ... + 13278552.

Almost surely, 2^61827375168 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 61827375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99209167596).

61827375168 is an abundant number, since it is smaller than the sum of its proper divisors (136590960024).

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

61827375168 is a wasteful number, since it uses less digits than its factorization.

61827375168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4872 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 61827375168 in words is "sixty-one billion, eight hundred twenty-seven million, three hundred seventy-five thousand, one hundred sixty-eight".