61617507684060 has 192 divisors, whose sum is σ = 183495923638272. Its totient is φ = 15417241534464.

The previous prime is 61617507684059. The next prime is 61617507684079. The reversal of 61617507684060 is 6048670571616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13089397 + ... + 17162963.

It is an arithmetic number, because the mean of its divisors is an integer number (955707935616).

Almost surely, 2^{61617507684060} is an apocalyptic number.

61617507684060 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 61617507684060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91747961819136).

61617507684060 is an abundant number, since it is smaller than the sum of its proper divisors (121878415954212).

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

61617507684060 is a wasteful number, since it uses less digits than its factorization.

61617507684060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073812 (or 4073810 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 61617507684060 in words is "sixty-one trillion, six hundred seventeen billion, five hundred seven million, six hundred eighty-four thousand, sixty".