4960368000 has 1152 divisors, whose sum is σ = 22402504800. Its totient is φ = 1045094400.

The previous prime is 4960367957. The next prime is 4960368047. The reversal of 4960368000 is 8630694.

4960368000 is a `hidden beast` number, since 49 + 603 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 134063982 + ... + 134064018.

Almost surely, 2^4960368000 is an apocalyptic number.

4960368000 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 4960368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201252400).

4960368000 is an abundant number, since it is smaller than the sum of its proper divisors (17442136800).

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

4960368000 is a wasteful number, since it uses less digits than its factorization.

4960368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4960368000 is about 70429.8800226154. The cubic root of 4960368000 is about 1705.4459722663.

Adding to 4960368000 its reverse (8630694), we get a palindrome (4968998694).

The spelling of 4960368000 in words is "four billion, nine hundred sixty million, three hundred sixty-eight thousand".