64800006480000 has 800 divisors, whose sum is σ = 262884915461520. Its totient is φ = 15709075200000.

The previous prime is 64800006479963. The next prime is 64800006480061. The reversal of 64800006480000 is 8460000846.

64800006480000 is a `hidden beast` number, since 6 + 4 + 8 + 0 + 0 + 0 + 0 + 648 + 0 + 0 + 0 + 0 = 666.

64800006480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 70825455 + ... + 71734545.

Almost surely, 2^{64800006480000} is an apocalyptic number.

64800006480000 is a gapful number since it is divisible by the number (60) 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 64800006480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131442457730760).

64800006480000 is an abundant number, since it is smaller than the sum of its proper divisors (198084908981520).

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

64800006480000 is an equidigital number, since it uses as much as digits as its factorization.

64800006480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909148 (or 909112 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 64800006480000 its reverse (8460000846), we get a palindrome (64808466480846).

It can be divided in two parts, 6480000 and 6480000, that added together give a 4-th power (12960000 = 60⁴).

The spelling of 64800006480000 in words is "sixty-four trillion, eight hundred billion, six million, four hundred eighty thousand".