61648744896 has 280 divisors, whose sum is σ = 192978786000. Its totient is φ = 19405910016.

The previous prime is 61648744889. The next prime is 61648744901. The reversal of 61648744896 is 69844784616.

61648744896 is a `hidden beast` number, since 61 + 6 + 48 + 7 + 448 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38314140 + ... + 38315748.

It is an arithmetic number, because the mean of its divisors is an integer number (689209950).

Almost surely, 2^61648744896 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 61648744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96489393000).

61648744896 is an abundant number, since it is smaller than the sum of its proper divisors (131330041104).

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

61648744896 is a wasteful number, since it uses less digits than its factorization.

61648744896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2022 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 61648744896 in words is "sixty-one billion, six hundred forty-eight million, seven hundred forty-four thousand, eight hundred ninety-six".