43686764640 has 384 divisors, whose sum is σ = 159703488000. Its totient is φ = 11139545088.

The previous prime is 43686764591. The next prime is 43686764651. The reversal of 43686764640 is 4646768634.

43686764640 is a `hidden beast` number, since 4 + 36 + 86 + 76 + 464 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 13403331 + ... + 13406589.

It is an arithmetic number, because the mean of its divisors is an integer number (415894500).

Almost surely, 2^43686764640 is an apocalyptic number.

43686764640 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 43686764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79851744000).

43686764640 is an abundant number, since it is smaller than the sum of its proper divisors (116016723360).

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

43686764640 is a wasteful number, since it uses less digits than its factorization.

43686764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 43686764640 in words is "forty-three billion, six hundred eighty-six million, seven hundred sixty-four thousand, six hundred forty".