61793600288 has 288 divisors, whose sum is σ = 157613299200. Its totient is φ = 23273422848.

The previous prime is 61793600261. The next prime is 61793600321. The reversal of 61793600288 is 88200639716.

It is a super-2 number, since 2×61793600288² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108600068 + ... + 108600636.

It is an arithmetic number, because the mean of its divisors is an integer number (547268400).

Almost surely, 2^61793600288 is an apocalyptic number.

61793600288 is a gapful number since it is divisible by the number (68) 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 61793600288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78806649600).

61793600288 is an abundant number, since it is smaller than the sum of its proper divisors (95819698912).

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

61793600288 is a wasteful number, since it uses less digits than its factorization.

61793600288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 61793600288 in words is "sixty-one billion, seven hundred ninety-three million, six hundred thousand, two hundred eighty-eight".