7413934080 has 384 divisors, whose sum is σ = 28304640000. Its totient is φ = 1619853312.

The previous prime is 7413934079. The next prime is 7413934133. The reversal of 7413934080 is 804393147.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4945171 + ... + 4946669.

It is an arithmetic number, because the mean of its divisors is an integer number (73710000).

Almost surely, 2^7413934080 is an apocalyptic number.

7413934080 is a gapful number since it is divisible by the number (70) 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 7413934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320000).

7413934080 is an abundant number, since it is smaller than the sum of its proper divisors (20890705920).

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

7413934080 is a wasteful number, since it uses less digits than its factorization.

7413934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7413934080 is about 86104.2047753767. The cubic root of 7413934080 is about 1949.9175139336.

The spelling of 7413934080 in words is "seven billion, four hundred thirteen million, nine hundred thirty-four thousand, eighty".