4263779520 has 1792 divisors, whose sum is σ = 22121164800. Its totient is φ = 743178240.

The previous prime is 4263779497. The next prime is 4263779521. The reversal of 4263779520 is 259773624.

4263779520 is a `hidden beast` number, since 4 + 2 + 637 + 7 + 9 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4263779521) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147026866 + ... + 147026894.

It is an arithmetic number, because the mean of its divisors is an integer number (12344400).

Almost surely, 2^4263779520 is an apocalyptic number.

4263779520 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 4263779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060582400).

4263779520 is an abundant number, since it is smaller than the sum of its proper divisors (17857385280).

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

4263779520 is a wasteful number, since it uses less digits than its factorization.

4263779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4263779520 is about 65297.6226213482. The cubic root of 4263779520 is about 1621.5546119121.

The spelling of 4263779520 in words is "four billion, two hundred sixty-three million, seven hundred seventy-nine thousand, five hundred twenty".