4693288960 has 72 divisors (see below), whose sum is σ = 11277801990. Its totient is φ = 1874542592.

The previous prime is 4693288903. The next prime is 4693288961. The reversal of 4693288960 is 698823964.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4417463296 + 275825664 = 66464^2 + 16608^2 .

It is a super-2 number, since 2×4693288960² = 44053922524115763200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4693288961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6932142 + ... + 6932818.

Almost surely, 2^4693288960 is an apocalyptic number.

4693288960 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 4693288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638900995).

4693288960 is an abundant number, since it is smaller than the sum of its proper divisors (6584513030).

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

4693288960 is an frugal number, since it uses more digits than its factorization.

4693288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The square root of 4693288960 is about 68507.5832298878. The cubic root of 4693288960 is about 1674.2710376681.

The spelling of 4693288960 in words is "four billion, six hundred ninety-three million, two hundred eighty-eight thousand, nine hundred sixty".