7147613952 has 432 divisors, whose sum is σ = 23468390400. Its totient is φ = 2080235520.

The previous prime is 7147613923. The next prime is 7147613987. The reversal of 7147613952 is 2593167417.

Its product of digits (317520) is a multiple of the sum of its prime factors (324).

It is a junction number, because it is equal to n+sod(n) for n = 7147613898 and 7147613907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31212174 + ... + 31212402.

Almost surely, 2^7147613952 is an apocalyptic number.

7147613952 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 7147613952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734195200).

7147613952 is an abundant number, since it is smaller than the sum of its proper divisors (16320776448).

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

7147613952 is a wasteful number, since it uses less digits than its factorization.

7147613952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 307 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 7147613952 is about 84543.5624515551. The cubic root of 7147613952 is about 1926.2842009030.

The spelling of 7147613952 in words is "seven billion, one hundred forty-seven million, six hundred thirteen thousand, nine hundred fifty-two".