61742320808 has 256 divisors, whose sum is σ = 153446400000. Its totient is φ = 22648688640.

The previous prime is 61742320781. The next prime is 61742320811. The reversal of 61742320808 is 80802324716.

It is a super-2 number, since 2×61742320808² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83548103 + ... + 83548841.

It is an arithmetic number, because the mean of its divisors is an integer number (599400000).

Almost surely, 2^61742320808 is an apocalyptic number.

61742320808 is a gapful number since it is divisible by the number (68) 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 61742320808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723200000).

61742320808 is an abundant number, since it is smaller than the sum of its proper divisors (91704079192).

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

61742320808 is a wasteful number, since it uses less digits than its factorization.

61742320808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 61742320808 in words is "sixty-one billion, seven hundred forty-two million, three hundred twenty thousand, eight hundred eight".