7926147072 has 144 divisors (see below), whose sum is σ = 22965153120. Its totient is φ = 2633637888.

The previous prime is 7926147071. The next prime is 7926147079. The reversal of 7926147072 is 2707416297.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7926147071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8975943 + ... + 8976825.

It is an arithmetic number, because the mean of its divisors is an integer number (159480230).

Almost surely, 2^7926147072 is an apocalyptic number.

7926147072 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 7926147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11482576560).

7926147072 is an abundant number, since it is smaller than the sum of its proper divisors (15039006048).

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

7926147072 is a wasteful number, since it uses less digits than its factorization.

7926147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7926147072 is about 89028.9114389253. The cubic root of 7926147072 is about 1993.8265532173.

The spelling of 7926147072 in words is "seven billion, nine hundred twenty-six million, one hundred forty-seven thousand, seventy-two".