6998281920 has 504 divisors, whose sum is σ = 28335994128. Its totient is φ = 1580544000.

The previous prime is 6998281919. The next prime is 6998281937. The reversal of 6998281920 is 291828996.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14252875 + ... + 14253365.

Almost surely, 2^6998281920 is an apocalyptic number.

6998281920 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 6998281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14167997064).

6998281920 is an abundant number, since it is smaller than the sum of its proper divisors (21337712208).

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

6998281920 is a wasteful number, since it uses less digits than its factorization.

6998281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 6998281920 is about 83655.7345314713. The cubic root of 6998281920 is about 1912.7746666901.

The spelling of 6998281920 in words is "six billion, nine hundred ninety-eight million, two hundred eighty-one thousand, nine hundred twenty".