43638367680 has 672 divisors, whose sum is σ = 164805408768. Its totient is φ = 10973491200.

The previous prime is 43638367627. The next prime is 43638367757. The reversal of 43638367680 is 8676383634.

43638367680 is a `hidden beast` number, since 436 + 38 + 36 + 76 + 80 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103653870 + ... + 103654290.

It is an arithmetic number, because the mean of its divisors is an integer number (245246144).

Almost surely, 2^43638367680 is an apocalyptic number.

43638367680 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 43638367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82402704384).

43638367680 is an abundant number, since it is smaller than the sum of its proper divisors (121167041088).

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

43638367680 is a wasteful number, since it uses less digits than its factorization.

43638367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 43638367680 in words is "forty-three billion, six hundred thirty-eight million, three hundred sixty-seven thousand, six hundred eighty".