4948765600 has 216 divisors, whose sum is σ = 12869387244. Its totient is φ = 1857024000.

The previous prime is 4948765573. The next prime is 4948765607. The reversal of 4948765600 is 65678494.

It can be written as a sum of positive squares in 6 ways, for example, as 314423824 + 4634341776 = 17732^2 + 68076^2 .

It is not an unprimeable number, because it can be changed into a prime (4948765607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31520722 + ... + 31520878.

Almost surely, 2^4948765600 is an apocalyptic number.

4948765600 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 4948765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434693622).

4948765600 is an abundant number, since it is smaller than the sum of its proper divisors (7920621644).

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

4948765600 is a wasteful number, since it uses less digits than its factorization.

4948765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The square root of 4948765600 is about 70347.4633515666. The cubic root of 4948765600 is about 1704.1152434419.

The spelling of 4948765600 in words is "four billion, nine hundred forty-eight million, seven hundred sixty-five thousand, six hundred".