61734274656 has 192 divisors, whose sum is σ = 168187041792. Its totient is φ = 19814400000.

The previous prime is 61734274643. The next prime is 61734274661. The reversal of 61734274656 is 65647243716.

61734274656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61734274656² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61734274599 and 61734274608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143234761 + ... + 143235191.

It is an arithmetic number, because the mean of its divisors is an integer number (875974176).

Almost surely, 2^61734274656 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 61734274656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84093520896).

61734274656 is an abundant number, since it is smaller than the sum of its proper divisors (106452767136).

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

61734274656 is a wasteful number, since it uses less digits than its factorization.

61734274656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The spelling of 61734274656 in words is "sixty-one billion, seven hundred thirty-four million, two hundred seventy-four thousand, six hundred fifty-six".