7157681460 has 36 divisors (see below), whose sum is σ = 21711634308. Its totient is φ = 1908715008.

The previous prime is 7157681441. The next prime is 7157681473. The reversal of 7157681460 is 641867517.

7157681460 is a `hidden beast` number, since 7 + 1 + 576 + 8 + 14 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4141694736 + 3015986724 = 64356^2 + 54918^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19882269 + ... + 19882628.

It is an arithmetic number, because the mean of its divisors is an integer number (603100953).

Almost surely, 2^7157681460 is an apocalyptic number.

It is an amenable number.

7157681460 is an abundant number, since it is smaller than the sum of its proper divisors (14553952848).

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

7157681460 is a wasteful number, since it uses less digits than its factorization.

7157681460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39764912 (or 39764907 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7157681460 is about 84603.0818587597. The cubic root of 7157681460 is about 1927.1881754699.

The spelling of 7157681460 in words is "seven billion, one hundred fifty-seven million, six hundred eighty-one thousand, four hundred sixty".