8044678764408 has 128 divisors (see below), whose sum is σ = 23638723879680. Its totient is φ = 2249212554240.

The previous prime is 8044678764379. The next prime is 8044678764439.

8044678764408 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6844735 + ... + 7933457.

It is an arithmetic number, because the mean of its divisors is an integer number (184677530310).

Almost surely, 2^{8044678764408} is an apocalyptic number.

8044678764408 is a gapful number since it is divisible by the number (88) 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 8044678764408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819361939840).

8044678764408 is an abundant number, since it is smaller than the sum of its proper divisors (15594045115272).

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

8044678764408 is a wasteful number, since it uses less digits than its factorization.

8044678764408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090909 (or 1090905 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 66.

The spelling of 8044678764408 in words is "eight trillion, forty-four billion, six hundred seventy-eight million, seven hundred sixty-four thousand, four hundred eight".