61706317416480 has 1152 divisors, whose sum is σ = 247759543100160. Its totient is φ = 13817677086720.

The previous prime is 61706317416479. The next prime is 61706317416533. The reversal of 61706317416480 is 8461471360716.

61706317416480 is a `hidden beast` number, since 6 + 170 + 6 + 3 + 17 + 416 + 48 + 0 = 666.

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, 10755848172 + ... + 10755853908.

It is an arithmetic number, because the mean of its divisors is an integer number (215069047830).

Almost surely, 2^{61706317416480} is an apocalyptic number.

61706317416480 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 61706317416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123879771550080).

61706317416480 is an abundant number, since it is smaller than the sum of its proper divisors (186053225683680).

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

61706317416480 is a wasteful number, since it uses less digits than its factorization.

61706317416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 61706317416480 in words is "sixty-one trillion, seven hundred six billion, three hundred seventeen million, four hundred sixteen thousand, four hundred eighty".