7404180000 has 720 divisors, whose sum is σ = 29968956864. Its totient is φ = 1566720000.

The previous prime is 7404179953. The next prime is 7404180071. The reversal of 7404180000 is 814047.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 121379970 + ... + 121380030.

Almost surely, 2^7404180000 is an apocalyptic number.

7404180000 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 7404180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984478432).

7404180000 is an abundant number, since it is smaller than the sum of its proper divisors (22564776864).

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

7404180000 is a wasteful number, since it uses less digits than its factorization.

7404180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7404180000 is about 86047.5449969376. The cubic root of 7404180000 is about 1949.0620077864.

Adding to 7404180000 its reverse (814047), we get a palindrome (7404994047).

The spelling of 7404180000 in words is "seven billion, four hundred four million, one hundred eighty thousand".