4816093672080 has 960 divisors, whose sum is σ = 17907118394880. Its totient is φ = 1155575808000.

The previous prime is 4816093672057. The next prime is 4816093672097. The reversal of 4816093672080 is 802763906184.

4816093672080 is a `hidden beast` number, since 4 + 8 + 1 + 609 + 3 + 6 + 7 + 20 + 8 + 0 = 666.

It is a super-4 number, since 4×4816093672080⁴ (a number of 52 digits) contains 4444 as substring.

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, 4662239244 + ... + 4662240276.

It is an arithmetic number, because the mean of its divisors is an integer number (18653248328).

Almost surely, 2^{4816093672080} is an apocalyptic number.

4816093672080 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 4816093672080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8953559197440).

4816093672080 is an abundant number, since it is smaller than the sum of its proper divisors (13091024722800).

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

4816093672080 is a wasteful number, since it uses less digits than its factorization.

4816093672080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1311 counting only the distinct ones).

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

The spelling of 4816093672080 in words is "four trillion, eight hundred sixteen billion, ninety-three million, six hundred seventy-two thousand, eighty".