4806007273080 has 768 divisors, whose sum is σ = 18323291750400. Its totient is φ = 1082707845120.

The previous prime is 4806007273073. The next prime is 4806007273139. The reversal of 4806007273080 is 803727006084.

It is a happy number.

4806007273080 is a `hidden beast` number, since 4 + 8 + 0 + 600 + 7 + 2 + 7 + 30 + 8 + 0 = 666.

It is a super-3 number, since 3×4806007273080³ (a number of 39 digits) contains 333 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 296970669 + ... + 296986851.

It is an arithmetic number, because the mean of its divisors is an integer number (23858452800).

Almost surely, 2^{4806007273080} is an apocalyptic number.

4806007273080 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 4806007273080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9161645875200).

4806007273080 is an abundant number, since it is smaller than the sum of its proper divisors (13517284477320).

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

4806007273080 is a wasteful number, since it uses less digits than its factorization.

4806007273080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16356 (or 16349 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4806007273080 in words is "four trillion, eight hundred six billion, seven million, two hundred seventy-three thousand, eighty".