4993248960 has 504 divisors, whose sum is σ = 20489728896. Its totient is φ = 1112186880.

The previous prime is 4993248943. The next prime is 4993248977. The reversal of 4993248960 is 698423994.

It is an interprime number because it is at equal distance from previous prime (4993248943) and next prime (4993248977).

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 4993248897 and 4993248906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5785489 + ... + 5786351.

It is an arithmetic number, because the mean of its divisors is an integer number (40654224).

Almost surely, 2^4993248960 is an apocalyptic number.

4993248960 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 4993248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244864448).

4993248960 is an abundant number, since it is smaller than the sum of its proper divisors (15496479936).

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

4993248960 is a wasteful number, since it uses less digits than its factorization.

4993248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 4993248960 is about 70662.9249323859. The cubic root of 4993248960 is about 1709.2059923055.

The spelling of 4993248960 in words is "four billion, nine hundred ninety-three million, two hundred forty-eight thousand, nine hundred sixty".