4778681019840 has 3584 divisors, whose sum is σ = 23910521241600. Its totient is φ = 868563025920.

The previous prime is 4778681019811. The next prime is 4778681019841. The reversal of 4778681019840 is 489101868774.

4778681019840 is a `hidden beast` number, since 477 + 8 + 6 + 81 + 0 + 1 + 9 + 84 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4778681019841) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7872620817 + ... + 7872621423.

It is an arithmetic number, because the mean of its divisors is an integer number (6671462400).

Almost surely, 2^{4778681019840} is an apocalyptic number.

4778681019840 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 4778681019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955260620800).

4778681019840 is an abundant number, since it is smaller than the sum of its proper divisors (19131840221760).

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

4778681019840 is a wasteful number, since it uses less digits than its factorization.

4778681019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 4778681019840 in words is "four trillion, seven hundred seventy-eight billion, six hundred eighty-one million, nineteen thousand, eight hundred forty".