4769335440 has 60 divisors (see below), whose sum is σ = 16017020604. Its totient is φ = 1271822592.

The previous prime is 4769335429. The next prime is 4769335489. The reversal of 4769335440 is 445339674.

4769335440 is a `hidden beast` number, since 4 + 76 + 9 + 33 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 742671504 + 4026663936 = 27252^2 + 63456^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3311319 + ... + 3312758.

Almost surely, 2^4769335440 is an apocalyptic number.

4769335440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4769335440 is an abundant number, since it is smaller than the sum of its proper divisors (11247685164).

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

4769335440 is a wasteful number, since it uses less digits than its factorization.

4769335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624096 (or 6624087 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 4769335440 is about 69060.3753247837. The cubic root of 4769335440 is about 1683.2655023044.

The spelling of 4769335440 in words is "four billion, seven hundred sixty-nine million, three hundred thirty-five thousand, four hundred forty".