427802559360 has 512 divisors, whose sum is σ = 1557369815040. Its totient is φ = 98939904000.

The previous prime is 427802559337. The next prime is 427802559367. The reversal of 427802559360 is 63955208724.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427802559367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46480519 + ... + 46489721.

It is an arithmetic number, because the mean of its divisors is an integer number (3041737920).

Almost surely, 2^427802559360 is an apocalyptic number.

427802559360 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 427802559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778684907520).

427802559360 is an abundant number, since it is smaller than the sum of its proper divisors (1129567255680).

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

427802559360 is a wasteful number, since it uses less digits than its factorization.

427802559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338 (or 9326 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 427802559360 in words is "four hundred twenty-seven billion, eight hundred two million, five hundred fifty-nine thousand, three hundred sixty".