7404634897920 has 960 divisors, whose sum is σ = 29088863907840. Its totient is φ = 1783766679552.

The previous prime is 7404634897901. The next prime is 7404634897939. The reversal of 7404634897920 is 297984364047.

7404634897920 is a `hidden beast` number, since 7 + 4 + 0 + 4 + 63 + 489 + 7 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7404634897901) and next prime (7404634897939).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549013417 + ... + 549026903.

It is an arithmetic number, because the mean of its divisors is an integer number (30300899904).

Almost surely, 2^{7404634897920} 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 7404634897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544431953920).

7404634897920 is an abundant number, since it is smaller than the sum of its proper divisors (21684229009920).

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

7404634897920 is a wasteful number, since it uses less digits than its factorization.

7404634897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13592 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 7404634897920 in words is "seven trillion, four hundred four billion, six hundred thirty-four million, eight hundred ninety-seven thousand, nine hundred twenty".