7006864160 has 48 divisors (see below), whose sum is σ = 17527471416. Its totient is φ = 2637877248.

The previous prime is 7006864133. The next prime is 7006864171. The reversal of 7006864160 is 614686007.

It can be written as a sum of positive squares in 4 ways, for example, as 4810254736 + 2196609424 = 69356^2 + 46868^2 .

It is a super-2 number, since 2×7006864160² = 98192290713385011200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1285307 + ... + 1290746.

Almost surely, 2^7006864160 is an apocalyptic number.

It is an amenable number.

7006864160 is an abundant number, since it is smaller than the sum of its proper divisors (10520607256).

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

7006864160 is a wasteful number, since it uses less digits than its factorization.

7006864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576085 (or 2576077 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 7006864160 is about 83707.0138041013. The cubic root of 7006864160 is about 1913.5562483006.

The spelling of 7006864160 in words is "seven billion, six million, eight hundred sixty-four thousand, one hundred sixty".