61721440200 has 288 divisors, whose sum is σ = 244536015360. Its totient is φ = 13652582400.

The previous prime is 61721440181. The next prime is 61721440211. The reversal of 61721440200 is 204412716.

61721440200 is a `hidden beast` number, since 6 + 17 + 2 + 1 + 440 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311592 + ... + 469608.

Almost surely, 2^61721440200 is an apocalyptic number.

61721440200 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 61721440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122268007680).

61721440200 is an abundant number, since it is smaller than the sum of its proper divisors (182814575160).

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

61721440200 is a wasteful number, since it uses less digits than its factorization.

61721440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158077 (or 158065 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 61721440200 its reverse (204412716), we get a palindrome (61925852916).

The spelling of 61721440200 in words is "sixty-one billion, seven hundred twenty-one million, four hundred forty thousand, two hundred".