6960564900 has 243 divisors, whose sum is σ = 22877579361. Its totient is φ = 1838129760.

The previous prime is 6960564893. The next prime is 6960564901. The reversal of 6960564900 is 94650696.

The square root of 6960564900 is 83430.

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

It can be written as a sum of positive squares in only one way, i.e., 2505803364 + 4454761536 = 50058^2 + 66744^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×6960564900² = 96898927454224020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6960564901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 67578249 + ... + 67578351.

Almost surely, 2^6960564900 is an apocalyptic number.

6960564900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6960564900 is the 83430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6960564900

6960564900 is an abundant number, since it is smaller than the sum of its proper divisors (15917014461).

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

6960564900 is an equidigital number, since it uses as much as digits as its factorization.

6960564900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The cubic root of 6960564900 is about 1909.3321952915.

The spelling of 6960564900 in words is "six billion, nine hundred sixty million, five hundred sixty-four thousand, nine hundred".