6992169972480 has 2880 divisors, whose sum is σ = 33916549201920. Its totient is φ = 1331151667200.

The previous prime is 6992169972479. The next prime is 6992169972503. The reversal of 6992169972480 is 842799612996.

6992169972480 is a `hidden beast` number, since 69 + 9 + 2 + 16 + 9 + 9 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 6992169972399 and 6992169972408.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4702198297 + ... + 4702199783.

It is an arithmetic number, because the mean of its divisors is an integer number (11776579584).

Almost surely, 2^{6992169972480} is an apocalyptic number.

6992169972480 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 6992169972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16958274600960).

6992169972480 is an abundant number, since it is smaller than the sum of its proper divisors (26924379229440).

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

6992169972480 is a wasteful number, since it uses less digits than its factorization.

6992169972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 6992169972480 in words is "six trillion, nine hundred ninety-two billion, one hundred sixty-nine million, nine hundred seventy-two thousand, four hundred eighty".