7945678540864 has 189 divisors, whose sum is σ = 16543586380503. Its totient is φ = 3786313107456.

The previous prime is 7945678540777. The next prime is 7945678540897. The reversal of 7945678540864 is 4680458765497.

The square root of 7945678540864 is 2818808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 120187022400 + 7825491518464 = 346680^2 + 2797408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74258677899 + ... + 74258678005.

Almost surely, 2^{7945678540864} is an apocalyptic number.

7945678540864 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

7945678540864 is the 2818808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7945678540864

7945678540864 is an abundant number, since it is smaller than the sum of its proper divisors (8597907839639).

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

7945678540864 is an frugal number, since it uses more digits than its factorization.

7945678540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 73.

The spelling of 7945678540864 in words is "seven trillion, nine hundred forty-five billion, six hundred seventy-eight million, five hundred forty thousand, eight hundred sixty-four".