7533974253120 has 896 divisors, whose sum is σ = 29079511007232. Its totient is φ = 1616014540800.

The previous prime is 7533974253119. The next prime is 7533974253121. The reversal of 7533974253120 is 213524793357.

It is an interprime number because it is at equal distance from previous prime (7533974253119) and next prime (7533974253121).

It is not an unprimeable number, because it can be changed into a prime (7533974253121) 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 127 ways as a sum of consecutive naturals, for example, 2551293564 + ... + 2551296516.

It is an arithmetic number, because the mean of its divisors is an integer number (32454811392).

Almost surely, 2^{7533974253120} is an apocalyptic number.

7533974253120 is a gapful number since it is divisible by the number (70) 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 7533974253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539755503616).

7533974253120 is an abundant number, since it is smaller than the sum of its proper divisors (21545536754112).

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

7533974253120 is a wasteful number, since it uses less digits than its factorization.

7533974253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 7533974253120 in words is "seven trillion, five hundred thirty-three billion, nine hundred seventy-four million, two hundred fifty-three thousand, one hundred twenty".