61731679896 has 192 divisors, whose sum is σ = 186605078400. Its totient is φ = 18321583104.

The previous prime is 61731679871. The next prime is 61731679901. The reversal of 61731679896 is 69897613716.

61731679896 is a `hidden beast` number, since 617 + 3 + 1 + 6 + 7 + 9 + 8 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its 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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22022031 + ... + 22024833.

It is an arithmetic number, because the mean of its divisors is an integer number (971901450).

Almost surely, 2^61731679896 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 61731679896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93302539200).

61731679896 is an abundant number, since it is smaller than the sum of its proper divisors (124873398504).

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

61731679896 is a wasteful number, since it uses less digits than its factorization.

61731679896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3791 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 61731679896 in words is "sixty-one billion, seven hundred thirty-one million, six hundred seventy-nine thousand, eight hundred ninety-six".