7971452832 has 192 divisors, whose sum is σ = 24812282880. Its totient is φ = 2193537024.

The previous prime is 7971452761. The next prime is 7971452849. The reversal of 7971452832 is 2382541797.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107519 + ... + 2111297.

It is an arithmetic number, because the mean of its divisors is an integer number (129230640).

Almost surely, 2^7971452832 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 7971452832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12406141440).

7971452832 is an abundant number, since it is smaller than the sum of its proper divisors (16840830048).

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

7971452832 is a wasteful number, since it uses less digits than its factorization.

7971452832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3907 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 7971452832 is about 89282.9929605857. The cubic root of 7971452832 is about 1997.6182340548.

The spelling of 7971452832 in words is "seven billion, nine hundred seventy-one million, four hundred fifty-two thousand, eight hundred thirty-two".