7605444672 has 112 divisors (see below), whose sum is σ = 25552725120. Its totient is φ = 2172980736.

The previous prime is 7605444653. The next prime is 7605444673. The reversal of 7605444672 is 2764445067.

7605444672 is a `hidden beast` number, since 7 + 60 + 544 + 46 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×7605444672⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (7605444673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302283 + ... + 326474.

Almost surely, 2^7605444672 is an apocalyptic number.

7605444672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7605444672 is an abundant number, since it is smaller than the sum of its proper divisors (17947280448).

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

7605444672 is a wasteful number, since it uses less digits than its factorization.

7605444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628785 (or 628769 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 7605444672 is about 87209.2006155314. The cubic root of 7605444672 is about 1966.5645391890.

The spelling of 7605444672 in words is "seven billion, six hundred five million, four hundred forty-four thousand, six hundred seventy-two".