7534426042368 has 416 divisors, whose sum is σ = 24878570169600. Its totient is φ = 2239323439104.

The previous prime is 7534426042309. The next prime is 7534426042391. The reversal of 7534426042368 is 8632406244357.

7534426042368 is a `hidden beast` number, since 7 + 5 + 3 + 4 + 4 + 2 + 604 + 23 + 6 + 8 = 666.

It is a super-3 number, since 3×7534426042368³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 35615755 + ... + 35826677.

Almost surely, 2^{7534426042368} 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 7534426042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439285084800).

7534426042368 is an abundant number, since it is smaller than the sum of its proper divisors (17344144127232).

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

7534426042368 is a wasteful number, since it uses less digits than its factorization.

7534426042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210992 (or 210964 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 7534426042368 in words is "seven trillion, five hundred thirty-four billion, four hundred twenty-six million, forty-two thousand, three hundred sixty-eight".