61704175680 has 448 divisors, whose sum is σ = 256808386560. Its totient is φ = 13648435200.

The previous prime is 61704175607. The next prime is 61704175693. The reversal of 61704175680 is 8657140716.

61704175680 is a `hidden beast` number, since 6 + 1 + 70 + 4 + 17 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1858425 + ... + 1891335.

Almost surely, 2^61704175680 is an apocalyptic number.

61704175680 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 61704175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128404193280).

61704175680 is an abundant number, since it is smaller than the sum of its proper divisors (195104210880).

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

61704175680 is a wasteful number, since it uses less digits than its factorization.

61704175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32975 (or 32959 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 61704175680 in words is "sixty-one billion, seven hundred four million, one hundred seventy-five thousand, six hundred eighty".