43728763680000 has 4320 divisors, whose sum is σ = 198142436524032. Its totient is φ = 9405849600000.

The previous prime is 43728763679921. The next prime is 43728763680023. The reversal of 43728763680000 is 8636782734.

It is a tau number, because it is divible by the number of its divisors (4320).

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 479 ways as a sum of consecutive naturals, for example, 599024159964 + ... + 599024160036.

Almost surely, 2^{43728763680000} is an apocalyptic number.

43728763680000 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 43728763680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99071218262016).

43728763680000 is an abundant number, since it is smaller than the sum of its proper divisors (154413672844032).

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

43728763680000 is an frugal number, since it uses more digits than its factorization.

43728763680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 43728763680000 in words is "forty-three trillion, seven hundred twenty-eight billion, seven hundred sixty-three million, six hundred eighty thousand".