6000948000 has 144 divisors (see below), whose sum is σ = 21297492216. Its totient is φ = 1600243200.

The previous prime is 6000947987. The next prime is 6000948001. The reversal of 6000948000 is 8490006.

It can be written as a sum of positive squares in 4 ways, for example, as 856615824 + 5144332176 = 29268^2 + 71724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6000948000² = 72022753797408000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6000948001) 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, 47347 + ... + 119346.

Almost surely, 2^6000948000 is an apocalyptic number.

6000948000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6000948000 is an abundant number, since it is smaller than the sum of its proper divisors (15296544216).

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

6000948000 is a wasteful number, since it uses less digits than its factorization.

6000948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166724 (or 166703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6000948000 is about 77465.7859961415. The cubic root of 6000948000 is about 1817.2162894768.

The spelling of 6000948000 in words is "six billion, nine hundred forty-eight thousand".