7964544000000 has 784 divisors, whose sum is σ = 30349119026304. Its totient is φ = 1819852800000.

The previous prime is 7964543999989. The next prime is 7964544000019. The reversal of 7964544000000 is 4454697.

It is a happy number.

It is a super-2 number, since 2×7964544000000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2687998519 + ... + 2688001481.

Almost surely, 2^{7964544000000} is an apocalyptic number.

7964544000000 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 7964544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174559513152).

7964544000000 is an abundant number, since it is smaller than the sum of its proper divisors (22384575026304).

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

7964544000000 is an frugal number, since it uses more digits than its factorization.

7964544000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 7964544000000 its reverse (4454697), we get a palindrome (7964548454697).

The spelling of 7964544000000 in words is "seven trillion, nine hundred sixty-four billion, five hundred forty-four million", and thus it is an aban number.