6745005000 has 320 divisors, whose sum is σ = 24798312000. Its totient is φ = 1692288000.

The previous prime is 6745004999. The next prime is 6745005011. The reversal of 6745005000 is 5005476.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2293531 + ... + 2296469.

It is an arithmetic number, because the mean of its divisors is an integer number (77494725).

Almost surely, 2^6745005000 is an apocalyptic number.

6745005000 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 6745005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399156000).

6745005000 is an abundant number, since it is smaller than the sum of its proper divisors (18053307000).

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

6745005000 is a wasteful number, since it uses less digits than its factorization.

6745005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 6745005000 is about 82127.9793980103. The cubic root of 6745005000 is about 1889.4152890178.

The spelling of 6745005000 in words is "six billion, seven hundred forty-five million, five thousand".