7404604416 has 352 divisors, whose sum is σ = 24265301760. Its totient is φ = 2211840000.

The previous prime is 7404604411. The next prime is 7404604447. The reversal of 7404604416 is 6144064047.

7404604416 is a `hidden beast` number, since 7 + 4 + 0 + 4 + 604 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-4 number, since 4×7404604416⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7404604411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29500291 + ... + 29500541.

Almost surely, 2^7404604416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7404604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132650880).

7404604416 is an abundant number, since it is smaller than the sum of its proper divisors (16860697344).

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

7404604416 is a wasteful number, since it uses less digits than its factorization.

7404604416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7404604416 is about 86050.0111330615. The cubic root of 7404604416 is about 1949.0992478902.

The spelling of 7404604416 in words is "seven billion, four hundred four million, six hundred four thousand, four hundred sixteen".