7408728626832 has 360 divisors, whose sum is σ = 22810086626496. Its totient is φ = 2243503401984.

The previous prime is 7408728626749. The next prime is 7408728626839. The reversal of 7408728626832 is 2386268278047.

7408728626832 is a `hidden beast` number, since 7 + 408 + 72 + 86 + 2 + 6 + 83 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7408728626832.

It is not an unprimeable number, because it can be changed into a prime (7408728626839) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 408568038 + ... + 408586170.

Almost surely, 2^{7408728626832} is an apocalyptic number.

7408728626832 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 7408728626832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405043313248).

7408728626832 is an abundant number, since it is smaller than the sum of its proper divisors (15401357999664).

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

7408728626832 is a wasteful number, since it uses less digits than its factorization.

7408728626832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18439 (or 18417 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 7408728626832 in words is "seven trillion, four hundred eight billion, seven hundred twenty-eight million, six hundred twenty-six thousand, eight hundred thirty-two".