61685760000 has 360 divisors, whose sum is σ = 206371552464. Its totient is φ = 16384000000.

The previous prime is 61685759981. The next prime is 61685760001. The reversal of 61685760000 is 6758616.

It is not an unprimeable number, because it can be changed into a prime (61685760001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 245759875 + ... + 245760125.

Almost surely, 2^61685760000 is an apocalyptic number.

61685760000 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 61685760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103185776232).

61685760000 is an abundant number, since it is smaller than the sum of its proper divisors (144685792464).

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

61685760000 is an frugal number, since it uses more digits than its factorization.

61685760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 61685760000 in words is "sixty-one billion, six hundred eighty-five million, seven hundred sixty thousand".