7533828207360 has 864 divisors, whose sum is σ = 32119474278528. Its totient is φ = 1587676446720.

The previous prime is 7533828207337. The next prime is 7533828207383. The reversal of 7533828207360 is 637028283357.

7533828207360 is a `hidden beast` number, since 7 + 53 + 3 + 8 + 28 + 207 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (7533828207337) and next prime (7533828207383).

It is a junction number, because it is equal to n+sod(n) for n = 7533828207297 and 7533828207306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999045190 + ... + 999052730.

It is an arithmetic number, because the mean of its divisors is an integer number (37175317452).

Almost surely, 2^{7533828207360} is an apocalyptic number.

7533828207360 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 7533828207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059737139264).

7533828207360 is an abundant number, since it is smaller than the sum of its proper divisors (24585646071168).

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

7533828207360 is a wasteful number, since it uses less digits than its factorization.

7533828207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8541 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 7533828207360 in words is "seven trillion, five hundred thirty-three billion, eight hundred twenty-eight million, two hundred seven thousand, three hundred sixty".