6844992000 has 640 divisors, whose sum is σ = 28434751488. Its totient is φ = 1419264000.

The previous prime is 6844991977. The next prime is 6844992031. The reversal of 6844992000 is 2994486.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 14783769 + ... + 14784231.

Almost surely, 2^6844992000 is an apocalyptic number.

6844992000 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 6844992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217375744).

6844992000 is an abundant number, since it is smaller than the sum of its proper divisors (21589759488).

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

6844992000 is a wasteful number, since it uses less digits than its factorization.

6844992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6844992000 is about 82734.4668200624. The cubic root of 6844992000 is about 1898.7056743378.

The spelling of 6844992000 in words is "six billion, eight hundred forty-four million, nine hundred ninety-two thousand".