4611916800 has 396 divisors, whose sum is σ = 16990484836. Its totient is φ = 1194393600.

The previous prime is 4611916787. The next prime is 4611916817. The reversal of 4611916800 is 86191164.

It is a happy number.

4611916800 is a `hidden beast` number, since 461 + 191 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5308416 + 4606608384 = 2304^2 + 67872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8524530 + ... + 8525070.

Almost surely, 2^4611916800 is an apocalyptic number.

4611916800 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 4611916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495242418).

4611916800 is an abundant number, since it is smaller than the sum of its proper divisors (12378568036).

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

4611916800 is a wasteful number, since it uses less digits than its factorization.

4611916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4611916800 is about 67911.0948225693. The cubic root of 4611916800 is about 1664.5384105835.

The spelling of 4611916800 in words is "four billion, six hundred eleven million, nine hundred sixteen thousand, eight hundred".