4948042680 has 512 divisors, whose sum is σ = 19950796800. Its totient is φ = 1066867200.

The previous prime is 4948042679. The next prime is 4948042709. The reversal of 4948042680 is 862408494.

4948042680 is a `hidden beast` number, since 494 + 80 + 4 + 2 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 10077235 + ... + 10077725.

It is an arithmetic number, because the mean of its divisors is an integer number (38966400).

Almost surely, 2^4948042680 is an apocalyptic number.

4948042680 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 4948042680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9975398400).

4948042680 is an abundant number, since it is smaller than the sum of its proper divisors (15002754120).

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

4948042680 is a wasteful number, since it uses less digits than its factorization.

4948042680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4948042680 is about 70342.3249544682. The cubic root of 4948042680 is about 1704.0322598535.

The spelling of 4948042680 in words is "four billion, nine hundred forty-eight million, forty-two thousand, six hundred eighty".