7953334272 has 300 divisors, whose sum is σ = 25644371676. Its totient is φ = 2441871360.

The previous prime is 7953334271. The next prime is 7953334273. The reversal of 7953334272 is 2724333597.

7953334272 is a `hidden beast` number, since 7 + 9 + 533 + 3 + 42 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (7953334271) and next prime (7953334273).

It can be written as a sum of positive squares in 2 ways, for example, as 1816805376 + 6136528896 = 42624^2 + 78336^2 .

It is not an unprimeable number, because it can be changed into a prime (7953334271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17252122 + ... + 17252582.

Almost surely, 2^7953334272 is an apocalyptic number.

7953334272 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 7953334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822185838).

7953334272 is an abundant number, since it is smaller than the sum of its proper divisors (17691037404).

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

7953334272 is an equidigital number, since it uses as much as digits as its factorization.

7953334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 479 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The square root of 7953334272 is about 89181.4682094885. The cubic root of 7953334272 is about 1996.1036033093.

It can be divided in two parts, 7953 and 334272, that added together give a square (342225 = 585²).

The spelling of 7953334272 in words is "seven billion, nine hundred fifty-three million, three hundred thirty-four thousand, two hundred seventy-two".