7675005312 has 576 divisors, whose sum is σ = 26700601200. Its totient is φ = 2176782336.

The previous prime is 7675005311. The next prime is 7675005319. The reversal of 7675005312 is 2135005767.

7675005312 is a `hidden beast` number, since 76 + 7 + 50 + 0 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7675005311) 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, 207432558 + ... + 207432594.

Almost surely, 2^7675005312 is an apocalyptic number.

7675005312 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 7675005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13350300600).

7675005312 is an abundant number, since it is smaller than the sum of its proper divisors (19025595888).

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

7675005312 is an equidigital number, since it uses as much as digits as its factorization.

7675005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 7675005312 is about 87607.1076568562. The cubic root of 7675005312 is about 1972.5418597718.

The spelling of 7675005312 in words is "seven billion, six hundred seventy-five million, five thousand, three hundred twelve".