6985339305984 has 1088 divisors, whose sum is σ = 23689919339520. Its totient is φ = 2043273019392.

The previous prime is 6985339305977. The next prime is 6985339306009. The reversal of 6985339305984 is 4895039335896.

6985339305984 is a `hidden beast` number, since 6 + 9 + 8 + 533 + 9 + 3 + 0 + 5 + 9 + 84 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42854842287 + ... + 42854842449.

Almost surely, 2^{6985339305984} is an apocalyptic number.

6985339305984 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 6985339305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844959669760).

6985339305984 is an abundant number, since it is smaller than the sum of its proper divisors (16704580033536).

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

6985339305984 is an frugal number, since it uses more digits than its factorization.

6985339305984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 6985339305984 in words is "six trillion, nine hundred eighty-five billion, three hundred thirty-nine million, three hundred five thousand, nine hundred eighty-four".