7615217868768 has 144 divisors (see below), whose sum is σ = 21735631597680. Its totient is φ = 2529056452608.

The previous prime is 7615217868761. The next prime is 7615217868799. The reversal of 7615217868768 is 8678687125167.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7615217868696 and 7615217868705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7615217868761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138665571 + ... + 138720477.

It is an arithmetic number, because the mean of its divisors is an integer number (150941886095).

Almost surely, 2^{7615217868768} 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 7615217868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867815798840).

7615217868768 is an abundant number, since it is smaller than the sum of its proper divisors (14120413728912).

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

7615217868768 is a wasteful number, since it uses less digits than its factorization.

7615217868768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56689 (or 56678 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 72.

The spelling of 7615217868768 in words is "seven trillion, six hundred fifteen billion, two hundred seventeen million, eight hundred sixty-eight thousand, seven hundred sixty-eight".