7145278620768 has 288 divisors, whose sum is σ = 21696865182720. Its totient is φ = 2222691287040.

The previous prime is 7145278620761. The next prime is 7145278620773. The reversal of 7145278620768 is 8670268725417.

It is a happy number.

7145278620768 is a `hidden beast` number, since 7 + 1 + 4 + 527 + 86 + 20 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145278620761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1995328738 + ... + 1995332318.

It is an arithmetic number, because the mean of its divisors is an integer number (75336337440).

Almost surely, 2^{7145278620768} 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 7145278620768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848432591360).

7145278620768 is an abundant number, since it is smaller than the sum of its proper divisors (14551586561952).

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

7145278620768 is a wasteful number, since it uses less digits than its factorization.

7145278620768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 7145278620768 in words is "seven trillion, one hundred forty-five billion, two hundred seventy-eight million, six hundred twenty thousand, seven hundred sixty-eight".