4678896960 has 392 divisors, whose sum is σ = 17270309376. Its totient is φ = 1205591040.

The previous prime is 4678896941. The next prime is 4678896973. The reversal of 4678896960 is 696988764.

4678896960 is a `hidden beast` number, since 467 + 8 + 89 + 6 + 96 + 0 = 666.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 7231357 + ... + 7232003.

Almost surely, 2^4678896960 is an apocalyptic number.

4678896960 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 4678896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635154688).

4678896960 is an abundant number, since it is smaller than the sum of its proper divisors (12591412416).

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

4678896960 is an equidigital number, since it uses as much as digits as its factorization.

4678896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 4678896960 is about 68402.4631135458. The cubic root of 4678896960 is about 1672.5578978127.

The spelling of 4678896960 in words is "four billion, six hundred seventy-eight million, eight hundred ninety-six thousand, nine hundred sixty".