7428286903968 has 240 divisors, whose sum is σ = 25116812671104. Its totient is φ = 2109658037760.

The previous prime is 7428286903963. The next prime is 7428286903969. The reversal of 7428286903968 is 8693096828247.

7428286903968 is a `hidden beast` number, since 7 + 428 + 2 + 86 + 90 + 39 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7428286903896 and 7428286903905.

It is not an unprimeable number, because it can be changed into a prime (7428286903963) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1804278 + ... + 4255818.

Almost surely, 2^{7428286903968} 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 7428286903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558406335552).

7428286903968 is an abundant number, since it is smaller than the sum of its proper divisors (17688525767136).

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

7428286903968 is a wasteful number, since it uses less digits than its factorization.

7428286903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451737 (or 2451720 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 7428286903968 in words is "seven trillion, four hundred twenty-eight billion, two hundred eighty-six million, nine hundred three thousand, nine hundred sixty-eight".