61742199904 has 576 divisors, whose sum is σ = 173405655360. Its totient is φ = 21290680320.

The previous prime is 61742199863. The next prime is 61742199929. The reversal of 61742199904 is 40999124716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450672924 + ... + 450673060.

It is an arithmetic number, because the mean of its divisors is an integer number (301051485).

Almost surely, 2^61742199904 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 61742199904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86702827680).

61742199904 is an abundant number, since it is smaller than the sum of its proper divisors (111663455456).

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

61742199904 is a wasteful number, since it uses less digits than its factorization.

61742199904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 61742199904 in words is "sixty-one billion, seven hundred forty-two million, one hundred ninety-nine thousand, nine hundred four".