8404968386880 has 1792 divisors, whose sum is σ = 33768367718400. Its totient is φ = 1953908490240.

The previous prime is 8404968386879. The next prime is 8404968386897. The reversal of 8404968386880 is 886838694048.

8404968386880 is a `hidden beast` number, since 8 + 40 + 496 + 8 + 38 + 68 + 8 + 0 = 666.

It is a super-3 number, since 3×8404968386880³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8404968386799 and 8404968386808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36702918606 + ... + 36702918834.

It is an arithmetic number, because the mean of its divisors is an integer number (18843955200).

Almost surely, 2^{8404968386880} is an apocalyptic number.

8404968386880 is a gapful number since it is divisible by the number (80) 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 8404968386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16884183859200).

8404968386880 is an abundant number, since it is smaller than the sum of its proper divisors (25363399331520).

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

8404968386880 is a wasteful number, since it uses less digits than its factorization.

8404968386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 8404968386880 in words is "eight trillion, four hundred four billion, nine hundred sixty-eight million, three hundred eighty-six thousand, eight hundred eighty".