61723362400 has 288 divisors, whose sum is σ = 176863055040. Its totient is φ = 20597760000.

The previous prime is 61723362353. The next prime is 61723362409. The reversal of 61723362400 is 426332716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61723362409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34500706 + ... + 34502494.

It is an arithmetic number, because the mean of its divisors is an integer number (614107830).

Almost surely, 2^61723362400 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 61723362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88431527520).

61723362400 is an abundant number, since it is smaller than the sum of its proper divisors (115139692640).

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

61723362400 is a wasteful number, since it uses less digits than its factorization.

61723362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 61723362400 in words is "sixty-one billion, seven hundred twenty-three million, three hundred sixty-two thousand, four hundred".