7647468864000 has 1280 divisors, whose sum is σ = 30183978958848. Its totient is φ = 1682749440000.

The previous prime is 7647468863917. The next prime is 7647468864011. The reversal of 7647468864000 is 4688647467.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40039103905 + ... + 40039104095.

Almost surely, 2^{7647468864000} is an apocalyptic number.

7647468864000 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 7647468864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091989479424).

7647468864000 is an abundant number, since it is smaller than the sum of its proper divisors (22536510094848).

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

7647468864000 is an frugal number, since it uses more digits than its factorization.

7647468864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 7647468864000 in words is "seven trillion, six hundred forty-seven billion, four hundred sixty-eight million, eight hundred sixty-four thousand".