7516162160640 has 1344 divisors, whose sum is σ = 32723581625280. Its totient is φ = 1616731176960.

The previous prime is 7516162160581. The next prime is 7516162160653. The reversal of 7516162160640 is 460612616157.

7516162160640 is a `hidden beast` number, since 7 + 5 + 1 + 6 + 16 + 21 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 888326010 + ... + 888334470.

It is an arithmetic number, because the mean of its divisors is an integer number (24347902995).

Almost surely, 2^{7516162160640} is an apocalyptic number.

7516162160640 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 7516162160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361790812640).

7516162160640 is an abundant number, since it is smaller than the sum of its proper divisors (25207419464640).

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

7516162160640 is an equidigital number, since it uses as much as digits as its factorization.

7516162160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 7516162160640 its reverse (460612616157), we get a palindrome (7976774776797).

The spelling of 7516162160640 in words is "seven trillion, five hundred sixteen billion, one hundred sixty-two million, one hundred sixty thousand, six hundred forty".