61827249792 has 768 divisors, whose sum is σ = 218011046400. Its totient is φ = 15340953600.

The previous prime is 61827249767. The next prime is 61827249793. The reversal of 61827249792 is 29794272816.

It is not an unprimeable number, because it can be changed into a prime (61827249793) 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, 744906583 + ... + 744906665.

It is an arithmetic number, because the mean of its divisors is an integer number (283868550).

Almost surely, 2^61827249792 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 61827249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109005523200).

61827249792 is an abundant number, since it is smaller than the sum of its proper divisors (156183796608).

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

61827249792 is a wasteful number, since it uses less digits than its factorization.

61827249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The spelling of 61827249792 in words is "sixty-one billion, eight hundred twenty-seven million, two hundred forty-nine thousand, seven hundred ninety-two".