4806376973640 has 192 divisors, whose sum is σ = 17047434830400. Its totient is φ = 1164728025600.

The previous prime is 4806376973581. The next prime is 4806376973669. The reversal of 4806376973640 is 463796736084.

4806376973640 is a `hidden beast` number, since 480 + 6 + 3 + 7 + 6 + 97 + 3 + 64 + 0 = 666.

It is a super-3 number, since 3×4806376973640³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 9977530 + ... + 10448150.

It is an arithmetic number, because the mean of its divisors is an integer number (88788723075).

Almost surely, 2^{4806376973640} is an apocalyptic number.

4806376973640 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 4806376973640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8523717415200).

4806376973640 is an abundant number, since it is smaller than the sum of its proper divisors (12241057856760).

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

4806376973640 is a wasteful number, since it uses less digits than its factorization.

4806376973640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473228 (or 473221 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 4806376973640 in words is "four trillion, eight hundred six billion, three hundred seventy-six million, nine hundred seventy-three thousand, six hundred forty".