7209378452952 has 768 divisors, whose sum is σ = 23536919347200. Its totient is φ = 2030711731200.

The previous prime is 7209378452951. The next prime is 7209378452993. The reversal of 7209378452952 is 2592548739027.

7209378452952 is a `hidden beast` number, since 7 + 2 + 0 + 93 + 7 + 8 + 452 + 95 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7209378452952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7209378452951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6263577577 + ... + 6263578727.

It is an arithmetic number, because the mean of its divisors is an integer number (30647030400).

Almost surely, 2^{7209378452952} is an apocalyptic number.

7209378452952 is a gapful number since it is divisible by the number (72) 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 7209378452952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768459673600).

7209378452952 is an abundant number, since it is smaller than the sum of its proper divisors (16327540894248).

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

7209378452952 is a wasteful number, since it uses less digits than its factorization.

7209378452952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 7209378452952 in words is "seven trillion, two hundred nine billion, three hundred seventy-eight million, four hundred fifty-two thousand, nine hundred fifty-two".