61482666960 has 960 divisors, whose sum is σ = 260600820480. Its totient is φ = 12766740480.

The previous prime is 61482666943. The next prime is 61482666989. The reversal of 61482666960 is 6966628416.

It is a junction number, because it is equal to n+sod(n) for n = 61482666897 and 61482666906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103680424 + ... + 103681016.

It is an arithmetic number, because the mean of its divisors is an integer number (271459188).

Almost surely, 2^61482666960 is an apocalyptic number.

61482666960 is a gapful number since it is divisible by the number (60) 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 61482666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130300410240).

61482666960 is an abundant number, since it is smaller than the sum of its proper divisors (199118153520).

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

61482666960 is a wasteful number, since it uses less digits than its factorization.

61482666960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 61482666960 in words is "sixty-one billion, four hundred eighty-two million, six hundred sixty-six thousand, nine hundred sixty".