427579036416 has 864 divisors, whose sum is σ = 1544577216000. Its totient is φ = 117782138880.

The previous prime is 427579036373. The next prime is 427579036439. The reversal of 427579036416 is 614630975724.

427579036416 is a `hidden beast` number, since 4 + 2 + 7 + 579 + 0 + 3 + 64 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 618782631 + ... + 618783321.

Almost surely, 2^427579036416 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 427579036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772288608000).

427579036416 is an abundant number, since it is smaller than the sum of its proper divisors (1116998179584).

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

427579036416 is an frugal number, since it uses more digits than its factorization.

427579036416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 427579036416 in words is "four hundred twenty-seven billion, five hundred seventy-nine million, thirty-six thousand, four hundred sixteen".