4268373732000 has 1008 divisors, whose sum is σ = 18291677767272. Its totient is φ = 975595622400.

The previous prime is 4268373731983. The next prime is 4268373732013. The reversal of 4268373732000 is 2373738624.

4268373732000 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 373 + 73 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2479831263504 + 1788542468496 = 1574748^2 + 1337364^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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 167 ways as a sum of consecutive naturals, for example, 142869064 + ... + 142898936.

Almost surely, 2^{4268373732000} is an apocalyptic number.

4268373732000 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 4268373732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145838883636).

4268373732000 is an abundant number, since it is smaller than the sum of its proper divisors (14023304035272).

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

4268373732000 is an equidigital number, since it uses as much as digits as its factorization.

4268373732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29930 (or 29890 counting only the distinct ones).

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

The spelling of 4268373732000 in words is "four trillion, two hundred sixty-eight billion, three hundred seventy-three million, seven hundred thirty-two thousand".