7404087663072 has 288 divisors, whose sum is σ = 22618011386880. Its totient is φ = 2289113272320.

The previous prime is 7404087663061. The next prime is 7404087663103. The reversal of 7404087663072 is 2703667804047.

7404087663072 is a `hidden beast` number, since 7 + 40 + 408 + 76 + 63 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259409829 + ... + 1259415707.

It is an arithmetic number, because the mean of its divisors is an integer number (78534761760).

Almost surely, 2^{7404087663072} is an apocalyptic number.

7404087663072 is a gapful number since it is divisible by the number (72) 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 7404087663072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309005693440).

7404087663072 is an abundant number, since it is smaller than the sum of its proper divisors (15213923723808).

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

7404087663072 is a wasteful number, since it uses less digits than its factorization.

7404087663072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 7404087663072 in words is "seven trillion, four hundred four billion, eighty-seven million, six hundred sixty-three thousand, seventy-two".