43627457664 has 384 divisors, whose sum is σ = 150586076160. Its totient is φ = 11860992000.

The previous prime is 43627457659. The next prime is 43627457681. The reversal of 43627457664 is 46675472634.

43627457664 is a `hidden beast` number, since 4 + 3 + 6 + 2 + 7 + 4 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×43627457664² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43627457664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15247594 + ... + 15250454.

It is an arithmetic number, because the mean of its divisors is an integer number (392151240).

Almost surely, 2^43627457664 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 43627457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75293038080).

43627457664 is an abundant number, since it is smaller than the sum of its proper divisors (106958618496).

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

43627457664 is a wasteful number, since it uses less digits than its factorization.

43627457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2965 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 43627457664 in words is "forty-three billion, six hundred twenty-seven million, four hundred fifty-seven thousand, six hundred sixty-four".