6146560000 has 325 divisors, whose sum is σ = 17918475971. Its totient is φ = 2107392000.

The previous prime is 6146559989. The next prime is 6146560027. The reversal of 6146560000 is 656416.

The square root of 6146560000 is 78400.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 481890304 + 5664669696 = 21952^2 + 75264^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 878079997 + ... + 878080003.

Almost surely, 2^6146560000 is an apocalyptic number.

6146560000 is the 78400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6146560000

6146560000 is an abundant number, since it is smaller than the sum of its proper divisors (11771915971).

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

6146560000 is an frugal number, since it uses more digits than its factorization.

6146560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 6146560000 is about 1831.7971337056.

The spelling of 6146560000 in words is "six billion, one hundred forty-six million, five hundred sixty thousand".