7964229632 has 144 divisors (see below), whose sum is σ = 17523862395. Its totient is φ = 3618635776.

The previous prime is 7964229617. The next prime is 7964229641. The reversal of 7964229632 is 2369224697.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 6359105536 + 1605124096 = 79744^2 + 40064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=63104.

Its product of digits (1959552) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 274628594 + ... + 274628622.

Almost surely, 2^7964229632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7964229632

7964229632 is an abundant number, since it is smaller than the sum of its proper divisors (9559632763).

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

7964229632 is an frugal number, since it uses more digits than its factorization.

7964229632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 48 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 50.

The square root of 7964229632 is about 89242.5326399918. The cubic root of 7964229632 is about 1997.0146821558.

Multiplying 7964229632 by its sum of digits (50), we get a square (398211481600 = 631040²).

The spelling of 7964229632 in words is "seven billion, nine hundred sixty-four million, two hundred twenty-nine thousand, six hundred thirty-two".