7282748126808 has 1152 divisors, whose sum is σ = 26950455000000. Its totient is φ = 1813308456960.

The previous prime is 7282748126807. The next prime is 7282748126869. The reversal of 7282748126808 is 8086218472827.

7282748126808 is a `hidden beast` number, since 7 + 28 + 274 + 81 + 268 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7282748126803) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5830862568 + ... + 5830863816.

Almost surely, 2^{7282748126808} 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 7282748126808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475227500000).

7282748126808 is an abundant number, since it is smaller than the sum of its proper divisors (19667706873192).

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

7282748126808 is a wasteful number, since it uses less digits than its factorization.

7282748126808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 7282748126808 in words is "seven trillion, two hundred eighty-two billion, seven hundred forty-eight million, one hundred twenty-six thousand, eight hundred eight".