4496364000 has 768 divisors, whose sum is σ = 18114969600. Its totient is φ = 1078272000.

The previous prime is 4496363953. The next prime is 4496364011. The reversal of 4496364000 is 4636944.

4496364000 is a `hidden beast` number, since 4 + 4 + 9 + 6 + 3 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56915961 + ... + 56916039.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 2^4496364000 is an apocalyptic number.

4496364000 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 4496364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

4496364000 is an abundant number, since it is smaller than the sum of its proper divisors (13618605600).

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

4496364000 is a wasteful number, since it uses less digits than its factorization.

4496364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4496364000 is about 67054.9327044625. The cubic root of 4496364000 is about 1650.5188450957.

The spelling of 4496364000 in words is "four billion, four hundred ninety-six million, three hundred sixty-four thousand".