427095068238720 has 1536 divisors, whose sum is σ = 1811268937820160. Its totient is φ = 90510852096000.

The previous prime is 427095068238697. The next prime is 427095068238743. The reversal of 427095068238720 is 27832860590724.

427095068238720 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 9 + 506 + 8 + 23 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (427095068238697) and next prime (427095068238743).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 75578667895 + ... + 75578673545.

It is an arithmetic number, because the mean of its divisors is an integer number (1179211548060).

Almost surely, 2^{427095068238720} is an apocalyptic number.

427095068238720 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 427095068238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905634468910080).

427095068238720 is an abundant number, since it is smaller than the sum of its proper divisors (1384173869581440).

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

427095068238720 is a wasteful number, since it uses less digits than its factorization.

427095068238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 427095068238720 in words is "four hundred twenty-seven trillion, ninety-five billion, sixty-eight million, two hundred thirty-eight thousand, seven hundred twenty".