7961974272 has 160 divisors (see below), whose sum is σ = 26935180800. Its totient is φ = 2274822144.

The previous prime is 7961974271. The next prime is 7961974277. The reversal of 7961974272 is 2724791697.

7961974272 is a `hidden beast` number, since 79 + 61 + 97 + 427 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7961974271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55629 + ... + 137907.

It is an arithmetic number, because the mean of its divisors is an integer number (168344880).

Almost surely, 2^7961974272 is an apocalyptic number.

7961974272 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 7961974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13467590400).

7961974272 is an abundant number, since it is smaller than the sum of its proper divisors (18973206528).

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

7961974272 is an equidigital number, since it uses as much as digits as its factorization.

7961974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82313 (or 82291 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 7961974272 is about 89229.8956180046. The cubic root of 7961974272 is about 1996.8261553527.

The spelling of 7961974272 in words is "seven billion, nine hundred sixty-one million, nine hundred seventy-four thousand, two hundred seventy-two".