4716070273152 has 640 divisors, whose sum is σ = 16723228325760. Its totient is φ = 1291235033088.

The previous prime is 4716070273141. The next prime is 4716070273223. The reversal of 4716070273152 is 2513720706174.

4716070273152 is a `hidden beast` number, since 4 + 7 + 1 + 607 + 0 + 2 + 7 + 31 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4716070273098 and 4716070273107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165386448 + ... + 165414960.

It is an arithmetic number, because the mean of its divisors is an integer number (26130044259).

Almost surely, 2^{4716070273152} is an apocalyptic number.

4716070273152 is a gapful number since it is divisible by the number (42) 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 4716070273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361614162880).

4716070273152 is an abundant number, since it is smaller than the sum of its proper divisors (12007158052608).

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

4716070273152 is a wasteful number, since it uses less digits than its factorization.

4716070273152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28642 (or 28621 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 4716070273152 in words is "four trillion, seven hundred sixteen billion, seventy million, two hundred seventy-three thousand, one hundred fifty-two".