4806000967680 has 1904 divisors, whose sum is σ = 19804345758720. Its totient is φ = 1108397260800.

The previous prime is 4806000967637. The next prime is 4806000967727. The reversal of 4806000967680 is 867690006084.

4806000967680 is a `hidden beast` number, since 480 + 6 + 0 + 0 + 0 + 96 + 76 + 8 + 0 = 666.

It is a super-3 number, since 3×4806000967680³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81457643491 + ... + 81457643549.

Almost surely, 2^{4806000967680} is an apocalyptic number.

4806000967680 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 4806000967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902172879360).

4806000967680 is an abundant number, since it is smaller than the sum of its proper divisors (14998344791040).

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

4806000967680 is an frugal number, since it uses more digits than its factorization.

4806000967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4806000967680 in words is "four trillion, eight hundred six billion, nine hundred sixty-seven thousand, six hundred eighty".