7647652152 has 192 divisors, whose sum is σ = 25625145600. Its totient is φ = 2069893440.

The previous prime is 7647652139. The next prime is 7647652163. The reversal of 7647652152 is 2512567467.

7647652152 is a `hidden beast` number, since 7 + 6 + 4 + 76 + 521 + 52 = 666.

It is a super-2 number, since 2×7647652152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7647652098 and 7647652107.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 538827 + ... + 552837.

It is an arithmetic number, because the mean of its divisors is an integer number (133464300).

Almost surely, 2^7647652152 is an apocalyptic number.

7647652152 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 7647652152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812572800).

7647652152 is an abundant number, since it is smaller than the sum of its proper divisors (17977493448).

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

7647652152 is a wasteful number, since it uses less digits than its factorization.

7647652152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071 (or 14042 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 7647652152 is about 87450.8556390388. The cubic root of 7647652152 is about 1970.1957385795.

The spelling of 7647652152 in words is "seven billion, six hundred forty-seven million, six hundred fifty-two thousand, one hundred fifty-two".