6842690624 has 224 divisors, whose sum is σ = 17928677376. Its totient is φ = 2512097280.

The previous prime is 6842690597. The next prime is 6842690627. The reversal of 6842690624 is 4260962486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (6842690627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8273699 + ... + 8274525.

Almost surely, 2^6842690624 is an apocalyptic number.

6842690624 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 6842690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964338688).

6842690624 is an abundant number, since it is smaller than the sum of its proper divisors (11085986752).

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

6842690624 is a wasteful number, since it uses less digits than its factorization.

6842690624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The square root of 6842690624 is about 82720.5574449302. The cubic root of 6842690624 is about 1898.4928605770.

The spelling of 6842690624 in words is "six billion, eight hundred forty-two million, six hundred ninety thousand, six hundred twenty-four".