7531642397160 has 768 divisors, whose sum is σ = 30425902940160. Its totient is φ = 1578041118720.

The previous prime is 7531642397117. The next prime is 7531642397177. The reversal of 7531642397160 is 617932461357.

7531642397160 is a `hidden beast` number, since 7 + 5 + 31 + 64 + 2 + 397 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7531642397097 and 7531642397106.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 185045932 + ... + 185086628.

It is an arithmetic number, because the mean of its divisors is an integer number (39617061120).

Almost surely, 2^{7531642397160} is an apocalyptic number.

7531642397160 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 7531642397160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212951470080).

7531642397160 is an abundant number, since it is smaller than the sum of its proper divisors (22894260543000).

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

7531642397160 is a wasteful number, since it uses less digits than its factorization.

7531642397160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40878 (or 40871 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 7531642397160 in words is "seven trillion, five hundred thirty-one billion, six hundred forty-two million, three hundred ninety-seven thousand, one hundred sixty".