7042575672 has 128 divisors (see below), whose sum is σ = 21553171200. Its totient is φ = 2112912000.

The previous prime is 7042575649. The next prime is 7042575677. The reversal of 7042575672 is 2765752407.

7042575672 is a `hidden beast` number, since 7 + 0 + 4 + 2 + 575 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7042575677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225303 + ... + 254649.

It is an arithmetic number, because the mean of its divisors is an integer number (168384150).

Almost surely, 2^7042575672 is an apocalyptic number.

7042575672 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 7042575672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10776585600).

7042575672 is an abundant number, since it is smaller than the sum of its proper divisors (14510595528).

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

7042575672 is a wasteful number, since it uses less digits than its factorization.

7042575672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29474 (or 29464 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 7042575672 is about 83920.0552430705. The cubic root of 7042575672 is about 1916.8016477725.

The spelling of 7042575672 in words is "seven billion, forty-two million, five hundred seventy-five thousand, six hundred seventy-two".