6952545485824 has 297 divisors, whose sum is σ = 15290463734679. Its totient is φ = 3159059005440.

The previous prime is 6952545485819. The next prime is 6952545485849. The reversal of 6952545485824 is 4285845452596.

The square root of 6952545485824 is 2636768.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3234127463424 + 3718418022400 = 1798368^2 + 1928320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6952545485824.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53072866239 + ... + 53072866369.

Almost surely, 2^{6952545485824} is an apocalyptic number.

6952545485824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6952545485824 is the 2636768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6952545485824

6952545485824 is an abundant number, since it is smaller than the sum of its proper divisors (8337918248855).

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

6952545485824 is an equidigital number, since it uses as much as digits as its factorization.

6952545485824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 187 counting only the distinct ones).

The product of its digits is 552960000, while the sum is 67.

The spelling of 6952545485824 in words is "six trillion, nine hundred fifty-two billion, five hundred forty-five million, four hundred eighty-five thousand, eight hundred twenty-four".