4796605440 has 264 divisors, whose sum is σ = 18132948288. Its totient is φ = 1162690560.

The previous prime is 4796605393. The next prime is 4796605453. The reversal of 4796605440 is 445066974.

4796605440 is a `hidden beast` number, since 47 + 9 + 6 + 60 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502149 + ... + 511611.

Almost surely, 2^4796605440 is an apocalyptic number.

4796605440 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 4796605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066474144).

4796605440 is an abundant number, since it is smaller than the sum of its proper divisors (13336342848).

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

4796605440 is a wasteful number, since it uses less digits than its factorization.

4796605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4796605440 is about 69257.5298433318. The cubic root of 4796605440 is about 1686.4675864399.

The spelling of 4796605440 in words is "four billion, seven hundred ninety-six million, six hundred five thousand, four hundred forty".