7057452672 has 128 divisors (see below), whose sum is σ = 21337747200. Its totient is φ = 2295060480.

The previous prime is 7057452667. The next prime is 7057452683. The reversal of 7057452672 is 2762547507.

7057452672 is a `hidden beast` number, since 7 + 0 + 57 + 4 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116793 + ... + 166599.

It is an arithmetic number, because the mean of its divisors is an integer number (166701150).

Almost surely, 2^7057452672 is an apocalyptic number.

7057452672 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 7057452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668873600).

7057452672 is an abundant number, since it is smaller than the sum of its proper divisors (14280294528).

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

7057452672 is a wasteful number, since it uses less digits than its factorization.

7057452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49871 (or 49853 counting only the distinct ones).

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

The square root of 7057452672 is about 84008.6464121402. The cubic root of 7057452672 is about 1918.1504063030.

The spelling of 7057452672 in words is "seven billion, fifty-seven million, four hundred fifty-two thousand, six hundred seventy-two".