4984072766400 has 2688 divisors, whose sum is σ = 21601317427200. Its totient is φ = 978400051200.

The previous prime is 4984072766369. The next prime is 4984072766417. The reversal of 4984072766400 is 46672704894.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56000817556 + ... + 56000817644.

It is an arithmetic number, because the mean of its divisors is an integer number (8036204400).

Almost surely, 2^{4984072766400} is an apocalyptic number.

4984072766400 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 4984072766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800658713600).

4984072766400 is an abundant number, since it is smaller than the sum of its proper divisors (16617244660800).

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

4984072766400 is a wasteful number, since it uses less digits than its factorization.

4984072766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 4984072766400 in words is "four trillion, nine hundred eighty-four billion, seventy-two million, seven hundred sixty-six thousand, four hundred".