7414413680 has 40 divisors (see below), whose sum is σ = 17243167200. Its totient is φ = 2964964608.

The previous prime is 7414413599. The next prime is 7414413689. The reversal of 7414413680 is 863144147.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7414413680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7414413689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351266 + ... + 371774.

It is an arithmetic number, because the mean of its divisors is an integer number (431079180).

Almost surely, 2^7414413680 is an apocalyptic number.

It is an amenable number.

7414413680 is an abundant number, since it is smaller than the sum of its proper divisors (9828753520).

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

7414413680 is a wasteful number, since it uses less digits than its factorization.

7414413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25041 (or 25035 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 7414413680 is about 86106.9897278961. The cubic root of 7414413680 is about 1949.9595590999.

The spelling of 7414413680 in words is "seven billion, four hundred fourteen million, four hundred thirteen thousand, six hundred eighty".