6992985242880 has 2304 divisors, whose sum is σ = 31560966420480. Its totient is φ = 1426902220800.

The previous prime is 6992985242869. The next prime is 6992985242963. The reversal of 6992985242880 is 882425892996.

6992985242880 is a `hidden beast` number, since 6 + 9 + 9 + 2 + 98 + 524 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 6992985242799 and 6992985242808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24886068340 + ... + 24886068620.

It is an arithmetic number, because the mean of its divisors is an integer number (13698336120).

Almost surely, 2^{6992985242880} is an apocalyptic number.

6992985242880 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 6992985242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15780483210240).

6992985242880 is an abundant number, since it is smaller than the sum of its proper divisors (24567981177600).

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

6992985242880 is a wasteful number, since it uses less digits than its factorization.

6992985242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 6992985242880 in words is "six trillion, nine hundred ninety-two billion, nine hundred eighty-five million, two hundred forty-two thousand, eight hundred eighty".