61723662900 has 288 divisors, whose sum is σ = 198139318272. Its totient is φ = 14765414400.

The previous prime is 61723662899. The next prime is 61723662943. The reversal of 61723662900 is 926632716.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10589787 + ... + 10595613.

It is an arithmetic number, because the mean of its divisors is an integer number (687983744).

Almost surely, 2^61723662900 is an apocalyptic number.

61723662900 is a gapful number since it is divisible by the number (60) 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 61723662900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99069659136).

61723662900 is an abundant number, since it is smaller than the sum of its proper divisors (136415655372).

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

61723662900 is a wasteful number, since it uses less digits than its factorization.

61723662900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 61723662900 in words is "sixty-one billion, seven hundred twenty-three million, six hundred sixty-two thousand, nine hundred".