4985294760 has 192 divisors, whose sum is σ = 16891130880. Its totient is φ = 1273743360.

The previous prime is 4985294731. The next prime is 4985294771. The reversal of 4985294760 is 674925894.

4985294760 is a `hidden beast` number, since 49 + 8 + 529 + 4 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4985294697 and 4985294706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1147312 + ... + 1151648.

It is an arithmetic number, because the mean of its divisors is an integer number (87974640).

Almost surely, 2^4985294760 is an apocalyptic number.

4985294760 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 4985294760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445565440).

4985294760 is an abundant number, since it is smaller than the sum of its proper divisors (11905836120).

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

4985294760 is a wasteful number, since it uses less digits than its factorization.

4985294760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4985294760 is about 70606.6198029618. The cubic root of 4985294760 is about 1708.2979267749.

The spelling of 4985294760 in words is "four billion, nine hundred eighty-five million, two hundred ninety-four thousand, seven hundred sixty".