4207715640 has 128 divisors (see below), whose sum is σ = 14089420800. Its totient is φ = 1116961920.

The previous prime is 4207715621. The next prime is 4207715663. The reversal of 4207715640 is 465177024.

4207715640 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 7 + 1 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4207715595 and 4207715604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232105 + ... + 249575.

It is an arithmetic number, because the mean of its divisors is an integer number (110073600).

Almost surely, 2^4207715640 is an apocalyptic number.

4207715640 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 4207715640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044710400).

4207715640 is an abundant number, since it is smaller than the sum of its proper divisors (9881705160).

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

4207715640 is a wasteful number, since it uses less digits than its factorization.

4207715640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17714 (or 17704 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4207715640 is about 64866.9071252823. The cubic root of 4207715640 is about 1614.4160285180.

The spelling of 4207715640 in words is "four billion, two hundred seven million, seven hundred fifteen thousand, six hundred forty".