7460404000 has 192 divisors, whose sum is σ = 21398307840. Its totient is φ = 2502988800.

The previous prime is 7460403997. The next prime is 7460404001. The reversal of 7460404000 is 4040647.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7460404001) 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 31 ways as a sum of consecutive naturals, for example, 1313166 + ... + 1318834.

It is an arithmetic number, because the mean of its divisors is an integer number (111449520).

Almost surely, 2^7460404000 is an apocalyptic number.

7460404000 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 7460404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10699153920).

7460404000 is an abundant number, since it is smaller than the sum of its proper divisors (13937903840).

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

7460404000 is a wasteful number, since it uses less digits than its factorization.

7460404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 7460404000 is about 86373.6302351592. The cubic root of 7460404000 is about 1953.9830050830.

Adding to 7460404000 its reverse (4040647), we get a palindrome (7464444647).

The spelling of 7460404000 in words is "seven billion, four hundred sixty million, four hundred four thousand".