7671665232 has 360 divisors, whose sum is σ = 27854328320. Its totient is φ = 1927411200.

The previous prime is 7671665231. The next prime is 7671665269. The reversal of 7671665232 is 2325661767.

7671665232 is a `hidden beast` number, since 7 + 67 + 1 + 66 + 523 + 2 = 666.

It is a super-2 number, since 2×7671665232² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7671665231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3779994 + ... + 3782022.

Almost surely, 2^7671665232 is an apocalyptic number.

7671665232 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 7671665232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927164160).

7671665232 is an abundant number, since it is smaller than the sum of its proper divisors (20182663088).

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

7671665232 is a wasteful number, since it uses less digits than its factorization.

7671665232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2083 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 7671665232 is about 87588.0427455712. The cubic root of 7671665232 is about 1972.2556752321.

The spelling of 7671665232 in words is "seven billion, six hundred seventy-one million, six hundred sixty-five thousand, two hundred thirty-two".