4876986067200 has 1728 divisors, whose sum is σ = 20234304921600. Its totient is φ = 1141110374400.

The previous prime is 4876986067193. The next prime is 4876986067211. The reversal of 4876986067200 is 27606896784.

4876986067200 is a `hidden beast` number, since 487 + 6 + 9 + 86 + 0 + 6 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 4108665007 + ... + 4108666193.

It is an arithmetic number, because the mean of its divisors is an integer number (11709667200).

Almost surely, 2^{4876986067200} is an apocalyptic number.

4876986067200 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 4876986067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117152460800).

4876986067200 is an abundant number, since it is smaller than the sum of its proper divisors (15357318854400).

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

4876986067200 is a wasteful number, since it uses less digits than its factorization.

4876986067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4876986067200 in words is "four trillion, eight hundred seventy-six billion, nine hundred eighty-six million, sixty-seven thousand, two hundred".