7147868000 has 384 divisors, whose sum is σ = 21992705280. Its totient is φ = 2222899200.

The previous prime is 7147867973. The next prime is 7147868023. The reversal of 7147868000 is 8687417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26571866 + ... + 26572134.

It is an arithmetic number, because the mean of its divisors is an integer number (57272670).

Almost surely, 2^7147868000 is an apocalyptic number.

7147868000 is a gapful number since it is divisible by the number (70) 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 7147868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996352640).

7147868000 is an abundant number, since it is smaller than the sum of its proper divisors (14844837280).

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

7147868000 is a wasteful number, since it uses less digits than its factorization.

7147868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 7147868000 is about 84545.0649062380. The cubic root of 7147868000 is about 1926.3070226379.

The spelling of 7147868000 in words is "seven billion, one hundred forty-seven million, eight hundred sixty-eight thousand".