4782681902880 has 432 divisors, whose sum is σ = 19002671808120. Its totient is φ = 1092197965824.

The previous prime is 4782681902849. The next prime is 4782681902897. The reversal of 4782681902880 is 882091862874.

4782681902880 is a `hidden beast` number, since 4 + 7 + 8 + 268 + 1 + 90 + 288 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3526838928144 + 1255842974736 = 1877988^2 + 1120644^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79632222 + ... + 79692258.

Almost surely, 2^{4782681902880} is an apocalyptic number.

4782681902880 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 4782681902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9501335904060).

4782681902880 is an abundant number, since it is smaller than the sum of its proper divisors (14219989905240).

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

4782681902880 is a wasteful number, since it uses less digits than its factorization.

4782681902880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61201 (or 61183 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 4782681902880 in words is "four trillion, seven hundred eighty-two billion, six hundred eighty-one million, nine hundred two thousand, eight hundred eighty".