4256763840 has 560 divisors, whose sum is σ = 17924068800. Its totient is φ = 938262528.

The previous prime is 4256763817. The next prime is 4256763859. The reversal of 4256763840 is 483676524.

4256763840 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 7 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5261356 + ... + 5262164.

Almost surely, 2^4256763840 is an apocalyptic number.

4256763840 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 4256763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962034400).

4256763840 is an abundant number, since it is smaller than the sum of its proper divisors (13667304960).

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

4256763840 is a wasteful number, since it uses less digits than its factorization.

4256763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4256763840 is about 65243.8797129662. The cubic root of 4256763840 is about 1620.6647477675.

The spelling of 4256763840 in words is "four billion, two hundred fifty-six million, seven hundred sixty-three thousand, eight hundred forty".