43800007680 has 1584 divisors, whose sum is σ = 197638406784. Its totient is φ = 8823767040.

The previous prime is 43800007673. The next prime is 43800007709. The reversal of 43800007680 is 8670000834.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 1904348149 + ... + 1904348171.

Almost surely, 2^43800007680 is an apocalyptic number.

43800007680 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 43800007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98819203392).

43800007680 is an abundant number, since it is smaller than the sum of its proper divisors (153838399104).

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

43800007680 is a wasteful number, since it uses less digits than its factorization.

43800007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 43800007680 in words is "forty-three billion, eight hundred million, seven thousand, six hundred eighty".