7971268032 has 168 divisors, whose sum is σ = 28121047136. Its totient is φ = 2102298624.

The previous prime is 7971268021. The next prime is 7971268043. The reversal of 7971268032 is 2308621797.

It is an interprime number because it is at equal distance from previous prime (7971268021) and next prime (7971268043).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×7971268032² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 23623 + ... + 128454.

Almost surely, 2^7971268032 is an apocalyptic number.

7971268032 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 7971268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060523568).

7971268032 is an abundant number, since it is smaller than the sum of its proper divisors (20149779104).

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

7971268032 is a wasteful number, since it uses less digits than its factorization.

7971268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152115 (or 152102 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7971268032 is about 89281.9580430447. The cubic root of 7971268032 is about 1997.6027971907.

The spelling of 7971268032 in words is "seven billion, nine hundred seventy-one million, two hundred sixty-eight thousand, thirty-two".