4809610479960 has 1792 divisors, whose sum is σ = 20370805862400. Its totient is φ = 1004858265600.

The previous prime is 4809610479953. The next prime is 4809610479979. The reversal of 4809610479960 is 699740169084.

4809610479960 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 610 + 4 + 7 + 9 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×4809610479960³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3748721479 + ... + 3748722761.

It is an arithmetic number, because the mean of its divisors is an integer number (11367637200).

Almost surely, 2^{4809610479960} is an apocalyptic number.

4809610479960 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 4809610479960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10185402931200).

4809610479960 is an abundant number, since it is smaller than the sum of its proper divisors (15561195382440).

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

4809610479960 is a wasteful number, since it uses less digits than its factorization.

4809610479960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 4809610479960 in words is "four trillion, eight hundred nine billion, six hundred ten million, four hundred seventy-nine thousand, nine hundred sixty".