4287756816 has 320 divisors, whose sum is σ = 14810480640. Its totient is φ = 1161838080.

The previous prime is 4287756791. The next prime is 4287756829. The reversal of 4287756816 is 6186577824.

4287756816 is a `hidden beast` number, since 4 + 2 + 8 + 77 + 568 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4968001 + ... + 4968863.

It is an arithmetic number, because the mean of its divisors is an integer number (46282752).

Almost surely, 2^4287756816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287756816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405240320).

4287756816 is an abundant number, since it is smaller than the sum of its proper divisors (10522723824).

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

4287756816 is a wasteful number, since it uses less digits than its factorization.

4287756816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 4287756816 is about 65480.9652952673. The cubic root of 4287756816 is about 1624.5885274237.

The spelling of 4287756816 in words is "four billion, two hundred eighty-seven million, seven hundred fifty-six thousand, eight hundred sixteen".