4734980476416 has 480 divisors, whose sum is σ = 14172582584160. Its totient is φ = 1521082368000.

The previous prime is 4734980476403. The next prime is 4734980476463. The reversal of 4734980476416 is 6146740894374.

4734980476416 is a `hidden beast` number, since 4 + 7 + 3 + 49 + 80 + 476 + 41 + 6 = 666.

It is a super-2 number, since 2×4734980476416² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3428660046 + ... + 3428661426.

It is an arithmetic number, because the mean of its divisors is an integer number (29526213717).

Almost surely, 2^{4734980476416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4734980476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086291292080).

4734980476416 is an abundant number, since it is smaller than the sum of its proper divisors (9437602107744).

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

4734980476416 is a wasteful number, since it uses less digits than its factorization.

4734980476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 4734980476416 in words is "four trillion, seven hundred thirty-four billion, nine hundred eighty million, four hundred seventy-six thousand, four hundred sixteen".