43713764640 has 1536 divisors, whose sum is σ = 206789345280. Its totient is φ = 8360755200.

The previous prime is 43713764639. The next prime is 43713764681. The reversal of 43713764640 is 4646731734.

43713764640 is a `hidden beast` number, since 437 + 137 + 6 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 207174135 + ... + 207174345.

It is an arithmetic number, because the mean of its divisors is an integer number (134628480).

Almost surely, 2^43713764640 is an apocalyptic number.

43713764640 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 43713764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103394672640).

43713764640 is an abundant number, since it is smaller than the sum of its proper divisors (163075580640).

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

43713764640 is a wasteful number, since it uses less digits than its factorization.

43713764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 43713764640 in words is "forty-three billion, seven hundred thirteen million, seven hundred sixty-four thousand, six hundred forty".