4273775239680 has 800 divisors, whose sum is σ = 15726422194560. Its totient is φ = 1108636139520.

The previous prime is 4273775239663. The next prime is 4273775239709. The reversal of 4273775239680 is 869325773724.

4273775239680 is a `hidden beast` number, since 4 + 27 + 3 + 7 + 7 + 523 + 9 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4650462261 + ... + 4650463179.

Almost surely, 2^{4273775239680} is an apocalyptic number.

4273775239680 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 4273775239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863211097280).

4273775239680 is an abundant number, since it is smaller than the sum of its proper divisors (11452646954880).

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

4273775239680 is an equidigital number, since it uses as much as digits as its factorization.

4273775239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 4273775239680 in words is "four trillion, two hundred seventy-three billion, seven hundred seventy-five million, two hundred thirty-nine thousand, six hundred eighty".