6814420992 has 312 divisors, whose sum is σ = 20853630720. Its totient is φ = 2141061120.

The previous prime is 6814420967. The next prime is 6814420997. The reversal of 6814420992 is 2990244186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814420997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76566484 + ... + 76566572.

It is an arithmetic number, because the mean of its divisors is an integer number (66838560).

Almost surely, 2^6814420992 is an apocalyptic number.

6814420992 is a gapful number since it is divisible by the number (62) 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 6814420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426815360).

6814420992 is an abundant number, since it is smaller than the sum of its proper divisors (14039209728).

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

6814420992 is a wasteful number, since it uses less digits than its factorization.

6814420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6814420992 is about 82549.5063098502. The cubic root of 6814420992 is about 1895.8747981204.

The spelling of 6814420992 in words is "six billion, eight hundred fourteen million, four hundred twenty thousand, nine hundred ninety-two".