43857673960464 has 800 divisors, whose sum is σ = 165628772857856. Its totient is φ = 10891167621120.

The previous prime is 43857673960439. The next prime is 43857673960493. The reversal of 43857673960464 is 46406937675834.

43857673960464 is a `hidden beast` number, since 4 + 3 + 8 + 5 + 7 + 6 + 7 + 3 + 9 + 604 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 43857673960392 and 43857673960401.

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, 135110484 + ... + 135434700.

Almost surely, 2^{43857673960464} 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 43857673960464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82814386428928).

43857673960464 is an abundant number, since it is smaller than the sum of its proper divisors (121771098897392).

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

43857673960464 is a wasteful number, since it uses less digits than its factorization.

43857673960464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324325 (or 324310 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 72.

The spelling of 43857673960464 in words is "forty-three trillion, eight hundred fifty-seven billion, six hundred seventy-three million, nine hundred sixty thousand, four hundred sixty-four".