6078645000 has 240 divisors, whose sum is σ = 21338357040. Its totient is φ = 1620648000.

The previous prime is 6078644993. The next prime is 6078645007. The reversal of 6078645000 is 5468706.

It is a happy number.

6078645000 is a `hidden beast` number, since 6 + 0 + 7 + 8 + 645 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6078644993) and next prime (6078645007).

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

It is not an unprimeable number, because it can be changed into a prime (6078645007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1212499 + ... + 1217501.

It is an arithmetic number, because the mean of its divisors is an integer number (88909821).

Almost surely, 2^6078645000 is an apocalyptic number.

6078645000 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 6078645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669178520).

6078645000 is an abundant number, since it is smaller than the sum of its proper divisors (15259712040).

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

6078645000 is an equidigital number, since it uses as much as digits as its factorization.

6078645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6078645000 is about 77965.6655201506. The cubic root of 6078645000 is about 1825.0254578296.

The spelling of 6078645000 in words is "six billion, seventy-eight million, six hundred forty-five thousand".