4247328960 has 756 divisors, whose sum is σ = 18417155952. Its totient is φ = 913711104.

The previous prime is 4247328959. The next prime is 4247328961. The reversal of 4247328960 is 698237424.

4247328960 is a `hidden beast` number, since 42 + 473 + 2 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4247328959) and next prime (4247328961).

It is a tau number, because it is divible by the number of its divisors (756).

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

It is not an unprimeable number, because it can be changed into a prime (4247328961) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 249842872 + ... + 249842888.

Almost surely, 2^4247328960 is an apocalyptic number.

4247328960 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 4247328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208577976).

4247328960 is an abundant number, since it is smaller than the sum of its proper divisors (14169826992).

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

4247328960 is an frugal number, since it uses more digits than its factorization.

4247328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4247328960 is about 65171.5348906254. The cubic root of 4247328960 is about 1619.4664909873.

The spelling of 4247328960 in words is "four billion, two hundred forty-seven million, three hundred twenty-eight thousand, nine hundred sixty".