7675679232 has 400 divisors, whose sum is σ = 25786474560. Its totient is φ = 2255413248.

The previous prime is 7675679203. The next prime is 7675679233. The reversal of 7675679232 is 2329765767.

7675679232 is a `hidden beast` number, since 76 + 7 + 567 + 9 + 2 + 3 + 2 = 666.

It is a super-3 number, since 3×7675679232³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7675679233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12399819 + ... + 12400437.

Almost surely, 2^7675679232 is an apocalyptic number.

7675679232 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 7675679232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893237280).

7675679232 is an abundant number, since it is smaller than the sum of its proper divisors (18110795328).

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

7675679232 is a wasteful number, since it uses less digits than its factorization.

7675679232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 660 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The square root of 7675679232 is about 87610.9538356934. The cubic root of 7675679232 is about 1972.5995924790.

The spelling of 7675679232 in words is "seven billion, six hundred seventy-five million, six hundred seventy-nine thousand, two hundred thirty-two".