4806537660288 has 768 divisors, whose sum is σ = 18037223366400. Its totient is φ = 1248699691008.

The previous prime is 4806537660283. The next prime is 4806537660311. The reversal of 4806537660288 is 8820667356084.

4806537660288 is a `hidden beast` number, since 480 + 6 + 5 + 3 + 76 + 6 + 0 + 2 + 88 = 666.

It is a super-3 number, since 3×4806537660288³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806537660283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147482331 + ... + 147514917.

It is an arithmetic number, because the mean of its divisors is an integer number (23485967925).

Almost surely, 2^{4806537660288} is an apocalyptic number.

4806537660288 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 4806537660288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9018611683200).

4806537660288 is an abundant number, since it is smaller than the sum of its proper divisors (13230685706112).

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

4806537660288 is a wasteful number, since it uses less digits than its factorization.

4806537660288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32704 (or 32679 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4806537660288 in words is "four trillion, eight hundred six billion, five hundred thirty-seven million, six hundred sixty thousand, two hundred eighty-eight".