4611960000 has 420 divisors, whose sum is σ = 17268059952. Its totient is φ = 1174272000.

The previous prime is 4611959999. The next prime is 4611960013. The reversal of 4611960000 is 691164.

4611960000 is a `hidden beast` number, since 46 + 1 + 19 + 600 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8279722 + ... + 8280278.

Almost surely, 2^4611960000 is an apocalyptic number.

4611960000 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 4611960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634029976).

4611960000 is an abundant number, since it is smaller than the sum of its proper divisors (12656099952).

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

4611960000 is a wasteful number, since it uses less digits than its factorization.

4611960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4611960000 is about 67911.4128847280. The cubic root of 4611960000 is about 1664.5436078322.

The spelling of 4611960000 in words is "four billion, six hundred eleven million, nine hundred sixty thousand".