7270616650752 has 2640 divisors, whose sum is σ = 29448898440192. Its totient is φ = 1765791498240.

The previous prime is 7270616650727. The next prime is 7270616650757. The reversal of 7270616650752 is 2570566160727.

7270616650752 is a `hidden beast` number, since 7 + 2 + 70 + 6 + 1 + 66 + 507 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7270616650757) 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 239 ways as a sum of consecutive naturals, for example, 37671588768 + ... + 37671588960.

Almost surely, 2^{7270616650752} is an apocalyptic number.

7270616650752 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 7270616650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724449220096).

7270616650752 is an abundant number, since it is smaller than the sum of its proper divisors (22178281789440).

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

7270616650752 is a wasteful number, since it uses less digits than its factorization.

7270616650752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 7270616650752 in words is "seven trillion, two hundred seventy billion, six hundred sixteen million, six hundred fifty thousand, seven hundred fifty-two".