7410189672 has 96 divisors (see below), whose sum is σ = 20228087880. Its totient is φ = 2450595840.

The previous prime is 7410189671. The next prime is 7410189691. The reversal of 7410189672 is 2769810147.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7145997156 + 264192516 = 84534^2 + 16254^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (7410189671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8410672 + ... + 8411552.

Almost surely, 2^7410189672 is an apocalyptic number.

7410189672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7410189672 is an abundant number, since it is smaller than the sum of its proper divisors (12817898208).

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

7410189672 is a wasteful number, since it uses less digits than its factorization.

7410189672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7410189672 is about 86082.4585615443. The cubic root of 7410189672 is about 1949.5891899886.

The spelling of 7410189672 in words is "seven billion, four hundred ten million, one hundred eighty-nine thousand, six hundred seventy-two".