4681073868800 has 720 divisors, whose sum is σ = 14170235421888. Its totient is φ = 1497366528000.

The previous prime is 4681073868769. The next prime is 4681073868827. The reversal of 4681073868800 is 88683701864.

It is a super-2 number, since 2×4681073868800² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4681073868800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6677708450 + ... + 6677709150.

Almost surely, 2^{4681073868800} is an apocalyptic number.

4681073868800 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 4681073868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085117710944).

4681073868800 is an abundant number, since it is smaller than the sum of its proper divisors (9489161553088).

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

4681073868800 is a wasteful number, since it uses less digits than its factorization.

4681073868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 59.

The spelling of 4681073868800 in words is "four trillion, six hundred eighty-one billion, seventy-three million, eight hundred sixty-eight thousand, eight hundred".