6998432878080 has 1440 divisors, whose sum is σ = 29991086858304. Its totient is φ = 1476617306112.

The previous prime is 6998432878079. The next prime is 6998432878123. The reversal of 6998432878080 is 808782348996.

6998432878080 is a `hidden beast` number, since 69 + 98 + 4 + 328 + 7 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×6998432878080² (a number of 26 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 2470324344 + ... + 2470327176.

Almost surely, 2^{6998432878080} is an apocalyptic number.

6998432878080 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 6998432878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995543429152).

6998432878080 is an abundant number, since it is smaller than the sum of its proper divisors (22992653980224).

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

6998432878080 is a wasteful number, since it uses less digits than its factorization.

6998432878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 6998432878080 in words is "six trillion, nine hundred ninety-eight billion, four hundred thirty-two million, eight hundred seventy-eight thousand, eighty".