4952064000 has 512 divisors, whose sum is σ = 18320440320. Its totient is φ = 1179648000.

The previous prime is 4952063981. The next prime is 4952064017. The reversal of 4952064000 is 4602594.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159743985 + ... + 159744015.

It is an arithmetic number, because the mean of its divisors is an integer number (35782110).

Almost surely, 2^4952064000 is an apocalyptic number.

4952064000 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 4952064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160220160).

4952064000 is an abundant number, since it is smaller than the sum of its proper divisors (13368376320).

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

4952064000 is an equidigital number, since it uses as much as digits as its factorization.

4952064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4952064000 is about 70370.9030779057. The cubic root of 4952064000 is about 1704.4937624405.

Adding to 4952064000 its reverse (4602594), we get a palindrome (4956666594).

The spelling of 4952064000 in words is "four billion, nine hundred fifty-two million, sixty-four thousand".