7278940755072 has 336 divisors, whose sum is σ = 25291237357350. Its totient is φ = 2079696052224.

The previous prime is 7278940755041. The next prime is 7278940755139. The reversal of 7278940755072 is 2705570498727.

7278940755072 is a `hidden beast` number, since 7 + 2 + 7 + 8 + 9 + 4 + 0 + 7 + 550 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5948018588736 + 1330922166336 = 2438856^2 + 1153656^2 .

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×7278940755072³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 3776304 + ... + 5368272.

Almost surely, 2^{7278940755072} is an apocalyptic number.

7278940755072 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 7278940755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645618678675).

7278940755072 is an abundant number, since it is smaller than the sum of its proper divisors (18012296602278).

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

7278940755072 is an equidigital number, since it uses as much as digits as its factorization.

7278940755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592015 (or 1591981 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 7278940755072 in words is "seven trillion, two hundred seventy-eight billion, nine hundred forty million, seven hundred fifty-five thousand, seventy-two".