6072948000 has 768 divisors, whose sum is σ = 26228966400. Its totient is φ = 1335398400.

The previous prime is 6072947983. The next prime is 6072948023. The reversal of 6072948000 is 8492706.

6072948000 is a `hidden beast` number, since 607 + 2 + 9 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21923862 + ... + 21924138.

It is an arithmetic number, because the mean of its divisors is an integer number (34152300).

Almost surely, 2^6072948000 is an apocalyptic number.

6072948000 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 6072948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13114483200).

6072948000 is an abundant number, since it is smaller than the sum of its proper divisors (20156018400).

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

6072948000 is a wasteful number, since it uses less digits than its factorization.

6072948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6072948000 is about 77929.1216426825. The cubic root of 6072948000 is about 1824.4551322689.

The spelling of 6072948000 in words is "six billion, seventy-two million, nine hundred forty-eight thousand".