6048735000 has 320 divisors, whose sum is σ = 23563457280. Its totient is φ = 1256640000.

The previous prime is 6048734977. The next prime is 6048735019. The reversal of 6048735000 is 5378406.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1152382 + ... + 1157618.

It is an arithmetic number, because the mean of its divisors is an integer number (73635804).

Almost surely, 2^6048735000 is an apocalyptic number.

6048735000 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 6048735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11781728640).

6048735000 is an abundant number, since it is smaller than the sum of its proper divisors (17514722280).

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

6048735000 is a wasteful number, since it uses less digits than its factorization.

6048735000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 6048735000 is about 77773.6137774245. The cubic root of 6048735000 is about 1822.0271861177.

The spelling of 6048735000 in words is "six billion, forty-eight million, seven hundred thirty-five thousand".