7675006000 has 80 divisors (see below), whose sum is σ = 18953251200. Its totient is φ = 3004646400.

The previous prime is 7675005979. The next prime is 7675006007. The reversal of 7675006000 is 6005767.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (7675006007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53176 + ... + 134824.

It is an arithmetic number, because the mean of its divisors is an integer number (236915640).

Almost surely, 2^7675006000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7675006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9476625600).

7675006000 is an abundant number, since it is smaller than the sum of its proper divisors (11278245200).

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

7675006000 is a wasteful number, since it uses less digits than its factorization.

7675006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81719 (or 81703 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 7675006000 is about 87607.1115834782. Note that the first 3 decimals coincide. The cubic root of 7675006000 is about 1972.5419187124.

The spelling of 7675006000 in words is "seven billion, six hundred seventy-five million, six thousand".