61729347456 has 512 divisors, whose sum is σ = 228741120000. Its totient is φ = 15979493376.

The previous prime is 61729347403. The next prime is 61729347467. The reversal of 61729347456 is 65474392716.

61729347456 is a `hidden beast` number, since 61 + 7 + 2 + 93 + 47 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 10568985 + ... + 10574823.

It is an arithmetic number, because the mean of its divisors is an integer number (446760000).

Almost surely, 2^61729347456 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 61729347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114370560000).

61729347456 is an abundant number, since it is smaller than the sum of its proper divisors (167011772544).

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

61729347456 is a wasteful number, since it uses less digits than its factorization.

61729347456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5893 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 61729347456 in words is "sixty-one billion, seven hundred twenty-nine million, three hundred forty-seven thousand, four hundred fifty-six".