6998400384 has 64 divisors (see below), whose sum is σ = 18628170240. Its totient is φ = 2327947776.

The previous prime is 6998400373. The next prime is 6998400389. The reversal of 6998400384 is 4830048996.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6998400389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168297 + ... + 205719.

It is an arithmetic number, because the mean of its divisors is an integer number (291065160).

Almost surely, 2^6998400384 is an apocalyptic number.

6998400384 is a gapful number since it is divisible by the number (64) 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 6998400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314085120).

6998400384 is an abundant number, since it is smaller than the sum of its proper divisors (11629769856).

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

6998400384 is a wasteful number, since it uses less digits than its factorization.

6998400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37927 (or 37915 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 6998400384 is about 83656.4425731814. The cubic root of 6998400384 is about 1912.7854595133.

It can be divided in two parts, 6998400 and 384, that multiplied together give a square (2687385600 = 51840²).

The spelling of 6998400384 in words is "six billion, nine hundred ninety-eight million, four hundred thousand, three hundred eighty-four".