61741468846080 has 576 divisors, whose sum is σ = 223429737847680. Its totient is φ = 15738589937664.

The previous prime is 61741468846033. The next prime is 61741468846139. The reversal of 61741468846080 is 8064886414716.

61741468846080 is a `hidden beast` number, since 6 + 1 + 7 + 4 + 14 + 6 + 8 + 8 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×61741468846080⁴ (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61741468845999 and 61741468846017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3703072624 + ... + 3703089296.

It is an arithmetic number, because the mean of its divisors is an integer number (387898850430).

Almost surely, 2^{61741468846080} is an apocalyptic number.

61741468846080 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 61741468846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111714868923840).

61741468846080 is an abundant number, since it is smaller than the sum of its proper divisors (161688269001600).

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

61741468846080 is a wasteful number, since it uses less digits than its factorization.

61741468846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18476 (or 18453 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 61741468846080 in words is "sixty-one trillion, seven hundred forty-one billion, four hundred sixty-eight million, eight hundred forty-six thousand, eighty".