4715288640 has 784 divisors, whose sum is σ = 18889400880. Its totient is φ = 1114767360.

The previous prime is 4715288597. The next prime is 4715288647. The reversal of 4715288640 is 468825174.

4715288640 is a `hidden beast` number, since 4 + 7 + 1 + 528 + 86 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 173606976 + 4541681664 = 13176^2 + 67392^2 .

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 (4715288647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 115007020 + ... + 115007060.

Almost surely, 2^4715288640 is an apocalyptic number.

4715288640 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 4715288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444700440).

4715288640 is an abundant number, since it is smaller than the sum of its proper divisors (14174112240).

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

4715288640 is a wasteful number, since it uses less digits than its factorization.

4715288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4715288640 is about 68667.9593405833. The cubic root of 4715288640 is about 1676.8829959235.

The spelling of 4715288640 in words is "four billion, seven hundred fifteen million, two hundred eighty-eight thousand, six hundred forty".