7696225152 has 256 divisors, whose sum is σ = 28320422400. Its totient is φ = 1998950400.

The previous prime is 7696225133. The next prime is 7696225157. The reversal of 7696225152 is 2515226967.

7696225152 is a `hidden beast` number, since 7 + 6 + 9 + 622 + 5 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7696225098 and 7696225107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7696225157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251652 + ... + 280572.

It is an arithmetic number, because the mean of its divisors is an integer number (110626650).

Almost surely, 2^7696225152 is an apocalyptic number.

7696225152 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 7696225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160211200).

7696225152 is an abundant number, since it is smaller than the sum of its proper divisors (20624197248).

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

7696225152 is a wasteful number, since it uses less digits than its factorization.

7696225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28962 (or 28944 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 7696225152 is about 87728.1320444018. The cubic root of 7696225152 is about 1974.3580802909.

The spelling of 7696225152 in words is "seven billion, six hundred ninety-six million, two hundred twenty-five thousand, one hundred fifty-two".