61477271239680 has 1760 divisors, whose sum is σ = 235960031112960. Its totient is φ = 15324547645440.

The previous prime is 61477271239679. The next prime is 61477271239687. The reversal of 61477271239680 is 8693217277416.

61477271239680 is a `hidden beast` number, since 6 + 1 + 4 + 77 + 271 + 239 + 68 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61477271239687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 185731937115 + ... + 185731937445.

It is an arithmetic number, because the mean of its divisors is an integer number (134068199496).

Almost surely, 2^{61477271239680} is an apocalyptic number.

61477271239680 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 61477271239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117980015556480).

61477271239680 is an abundant number, since it is smaller than the sum of its proper divisors (174482759873280).

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

61477271239680 is an frugal number, since it uses more digits than its factorization.

61477271239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 61477271239680 in words is "sixty-one trillion, four hundred seventy-seven billion, two hundred seventy-one million, two hundred thirty-nine thousand, six hundred eighty".