427648201344 has 1280 divisors, whose sum is σ = 1634878586880. Its totient is φ = 107979153408.

The previous prime is 427648201319. The next prime is 427648201369. The reversal of 427648201344 is 443102846724.

427648201344 is a `hidden beast` number, since 42 + 7 + 64 + 8 + 201 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (427648201319) and next prime (427648201369).

It is a super-3 number, since 3×427648201344³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 427648201344.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3367308609 + ... + 3367308735.

It is an arithmetic number, because the mean of its divisors is an integer number (1277248896).

Almost surely, 2^427648201344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427648201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817439293440).

427648201344 is an abundant number, since it is smaller than the sum of its proper divisors (1207230385536).

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

427648201344 is a wasteful number, since it uses less digits than its factorization.

427648201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 427648201344 in words is "four hundred twenty-seven billion, six hundred forty-eight million, two hundred one thousand, three hundred forty-four".