61324812800 has 120 divisors (see below), whose sum is σ = 154429751652. Its totient is φ = 24127488000.

The previous prime is 61324812799. The next prime is 61324812803. The reversal of 61324812800 is 821842316.

It can be written as a sum of positive squares in 6 ways, for example, as 16224645376 + 45100167424 = 127376^2 + 212368^2 .

It is not an unprimeable number, because it can be changed into a prime (61324812803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741530 + ... + 820070.

Almost surely, 2^61324812800 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 61324812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77214875826).

61324812800 is an abundant number, since it is smaller than the sum of its proper divisors (93104938852).

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

61324812800 is an equidigital number, since it uses as much as digits as its factorization.

61324812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78630 (or 78609 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 61324812800 in words is "sixty-one billion, three hundred twenty-four million, eight hundred twelve thousand, eight hundred".