6567870000 has 400 divisors, whose sum is σ = 22360117472. Its totient is φ = 1658880000.

The previous prime is 6567869993. The next prime is 6567870013. The reversal of 6567870000 is 787656.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67709952 + ... + 67710048.

Almost surely, 2^6567870000 is an apocalyptic number.

6567870000 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 6567870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180058736).

6567870000 is an abundant number, since it is smaller than the sum of its proper divisors (15792247472).

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

6567870000 is a wasteful number, since it uses less digits than its factorization.

6567870000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 6567870000 is about 81042.3963120539. The cubic root of 6567870000 is about 1872.7286273509.

The spelling of 6567870000 in words is "six billion, five hundred sixty-seven million, eight hundred seventy thousand".