61729200000 has 576 divisors, whose sum is σ = 239286247200. Its totient is φ = 15183360000.

The previous prime is 61729199941. The next prime is 61729200019. The reversal of 61729200000 is 292716.

61729200000 is a `hidden beast` number, since 617 + 29 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 46799341 + ... + 46800659.

Almost surely, 2^61729200000 is an apocalyptic number.

61729200000 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 61729200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119643123600).

61729200000 is an abundant number, since it is smaller than the sum of its proper divisors (177557047200).

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

61729200000 is a wasteful number, since it uses less digits than its factorization.

61729200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 61729200000 its reverse (292716), we get a palindrome (61729492716).

The spelling of 61729200000 in words is "sixty-one billion, seven hundred twenty-nine million, two hundred thousand".