7681520952 has 320 divisors, whose sum is σ = 25391646720. Its totient is φ = 2124237312.

The previous prime is 7681520947. The next prime is 7681520981. The reversal of 7681520952 is 2590251867.

7681520952 is a `hidden beast` number, since 76 + 8 + 1 + 520 + 9 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7681520898 and 7681520907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29207173 + ... + 29207435.

It is an arithmetic number, because the mean of its divisors is an integer number (79348896).

Almost surely, 2^7681520952 is an apocalyptic number.

7681520952 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 7681520952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12695823360).

7681520952 is an abundant number, since it is smaller than the sum of its proper divisors (17710125768).

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

7681520952 is a wasteful number, since it uses less digits than its factorization.

7681520952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 7681520952 is about 87644.2864766438. The cubic root of 7681520952 is about 1973.0998935824.

The spelling of 7681520952 in words is "seven billion, six hundred eighty-one million, five hundred twenty thousand, nine hundred fifty-two".