6890988384000 has 1728 divisors, whose sum is σ = 29821946918400. Its totient is φ = 1562416128000.

The previous prime is 6890988383963. The next prime is 6890988384041. The reversal of 6890988384000 is 4838890986.

6890988384000 is a `hidden beast` number, since 68 + 9 + 0 + 98 + 83 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5884703415 + ... + 5884704585.

Almost surely, 2^{6890988384000} is an apocalyptic number.

6890988384000 is a gapful number since it is divisible by the number (60) 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 6890988384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910973459200).

6890988384000 is an abundant number, since it is smaller than the sum of its proper divisors (22930958534400).

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

6890988384000 is a wasteful number, since it uses less digits than its factorization.

6890988384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 6890988384000 in words is "six trillion, eight hundred ninety billion, nine hundred eighty-eight million, three hundred eighty-four thousand".