61729457304 has 128 divisors (see below), whose sum is σ = 167191257600. Its totient is φ = 18934164480.

The previous prime is 61729457243. The next prime is 61729457329. The reversal of 61729457304 is 40375492716.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 4491387 + ... + 4505109.

It is an arithmetic number, because the mean of its divisors is an integer number (1306181700).

Almost surely, 2^61729457304 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 61729457304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83595628800).

61729457304 is an abundant number, since it is smaller than the sum of its proper divisors (105461800296).

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

61729457304 is a wasteful number, since it uses less digits than its factorization.

61729457304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 61729457304 in words is "sixty-one billion, seven hundred twenty-nine million, four hundred fifty-seven thousand, three hundred four".