427073599461600 has 2880 divisors, whose sum is σ = 2021070978178560. Its totient is φ = 85225059532800.

The previous prime is 427073599461511. The next prime is 427073599461653. The reversal of 427073599461600 is 6164995370724.

427073599461600 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 7 + 3 + 5 + 9 + 9 + 4 + 616 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 76522770810 + ... + 76522776390.

It is an arithmetic number, because the mean of its divisors is an integer number (701760756312).

Almost surely, 2^{427073599461600} is an apocalyptic number.

427073599461600 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 427073599461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010535489089280).

427073599461600 is an abundant number, since it is smaller than the sum of its proper divisors (1593997378716960).

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

427073599461600 is a wasteful number, since it uses less digits than its factorization.

427073599461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 427073599461600 in words is "four hundred twenty-seven trillion, seventy-three billion, five hundred ninety-nine million, four hundred sixty-one thousand, six hundred".