61723340800 has 312 divisors, whose sum is σ = 171597780432. Its totient is φ = 21823488000.

The previous prime is 61723340773. The next prime is 61723340839. The reversal of 61723340800 is 804332716.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41676060 + ... + 41677540.

It is an arithmetic number, because the mean of its divisors is an integer number (549992886).

Almost surely, 2^61723340800 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 61723340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85798890216).

61723340800 is an abundant number, since it is smaller than the sum of its proper divisors (109874439632).

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

61723340800 is a wasteful number, since it uses less digits than its factorization.

61723340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 61723340800 in words is "sixty-one billion, seven hundred twenty-three million, three hundred forty thousand, eight hundred".