4606736960 has 336 divisors, whose sum is σ = 13758672000. Its totient is φ = 1464486912.

The previous prime is 4606736923. The next prime is 4606736969. The reversal of 4606736960 is 696376064.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (4606736969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98015657 + ... + 98015703.

Almost surely, 2^4606736960 is an apocalyptic number.

4606736960 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 4606736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879336000).

4606736960 is an abundant number, since it is smaller than the sum of its proper divisors (9151935040).

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

4606736960 is an equidigital number, since it uses as much as digits as its factorization.

4606736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The square root of 4606736960 is about 67872.9471881102. The cubic root of 4606736960 is about 1663.9150058288.

The spelling of 4606736960 in words is "four billion, six hundred six million, seven hundred thirty-six thousand, nine hundred sixty".