61808030688768 has 1280 divisors, whose sum is σ = 217603912458240. Its totient is φ = 15127414308864.

The previous prime is 61808030688757. The next prime is 61808030688793. The reversal of 61808030688768 is 86788603080816.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71953469523 + ... + 71953470381.

It is an arithmetic number, because the mean of its divisors is an integer number (170003056608).

Almost surely, 2^{61808030688768} is an apocalyptic number.

61808030688768 is a gapful number since it is divisible by the number (68) 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 61808030688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108801956229120).

61808030688768 is an abundant number, since it is smaller than the sum of its proper divisors (155795881769472).

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

61808030688768 is a wasteful number, since it uses less digits than its factorization.

61808030688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 69.

The spelling of 61808030688768 in words is "sixty-one trillion, eight hundred eight billion, thirty million, six hundred eighty-eight thousand, seven hundred sixty-eight".