4948537968 has 240 divisors, whose sum is σ = 16000538400. Its totient is φ = 1462348800.

The previous prime is 4948537961. The next prime is 4948537991. The reversal of 4948537968 is 8697358494.

4948537968 is a `hidden beast` number, since 4 + 9 + 4 + 8 + 537 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4948537961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2141998 + ... + 2144306.

It is an arithmetic number, because the mean of its divisors is an integer number (66668910).

Almost surely, 2^4948537968 is an apocalyptic number.

4948537968 is a gapful number since it is divisible by the number (48) 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 4948537968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000269200).

4948537968 is an abundant number, since it is smaller than the sum of its proper divisors (11052000432).

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

4948537968 is a wasteful number, since it uses less digits than its factorization.

4948537968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2366 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 4948537968 is about 70345.8454210339. The cubic root of 4948537968 is about 1704.0891145618.

The spelling of 4948537968 in words is "four billion, nine hundred forty-eight million, five hundred thirty-seven thousand, nine hundred sixty-eight".