4273782509568 has 624 divisors, whose sum is σ = 13603000506368. Its totient is φ = 1185369292800.

The previous prime is 4273782509543. The next prime is 4273782509593. The reversal of 4273782509568 is 8659052873724.

It is an interprime number because it is at equal distance from previous prime (4273782509543) and next prime (4273782509593).

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4273782509499 and 4273782509508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2454785178 + ... + 2454786918.

Almost surely, 2^{4273782509568} is an apocalyptic number.

4273782509568 is a gapful number since it is divisible by the number (48) 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 4273782509568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801500253184).

4273782509568 is an abundant number, since it is smaller than the sum of its proper divisors (9329217996800).

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

4273782509568 is a wasteful number, since it uses less digits than its factorization.

4273782509568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 4273782509568 in words is "four trillion, two hundred seventy-three billion, seven hundred eighty-two million, five hundred nine thousand, five hundred sixty-eight".