4204760640 has 224 divisors, whose sum is σ = 14382268416. Its totient is φ = 1037752320.

The previous prime is 4204760597. The next prime is 4204760669. The reversal of 4204760640 is 460674024.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 681409 + ... + 687551.

Almost surely, 2^4204760640 is an apocalyptic number.

4204760640 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 4204760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191134208).

4204760640 is an abundant number, since it is smaller than the sum of its proper divisors (10177507776).

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

4204760640 is a wasteful number, since it uses less digits than its factorization.

4204760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 4204760640 is about 64844.1257169838. The cubic root of 4204760640 is about 1614.0380152858.

The spelling of 4204760640 in words is "four billion, two hundred four million, seven hundred sixty thousand, six hundred forty".