427304185100760 has 512 divisors, whose sum is σ = 1494073019520000. Its totient is φ = 96769994711040.

The previous prime is 427304185100747. The next prime is 427304185100761. The reversal of 427304185100760 is 67001581403724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427304185100761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252685726 + ... + 254371154.

It is an arithmetic number, because the mean of its divisors is an integer number (2918111366250).

Almost surely, 2^{427304185100760} is an apocalyptic number.

427304185100760 is a gapful number since it is divisible by the number (40) 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 427304185100760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747036509760000).

427304185100760 is an abundant number, since it is smaller than the sum of its proper divisors (1066768834419240).

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

427304185100760 is a wasteful number, since it uses less digits than its factorization.

427304185100760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685699 (or 1685695 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 427304185100760 in words is "four hundred twenty-seven trillion, three hundred four billion, one hundred eighty-five million, one hundred thousand, seven hundred sixty".