64478964000 has 480 divisors, whose sum is σ = 232988071680. Its totient is φ = 15588672000.

The previous prime is 64478963993. The next prime is 64478964001. The reversal of 64478964000 is 46987446.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64478964001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175691817 + ... + 175692183.

It is an arithmetic number, because the mean of its divisors is an integer number (485391816).

Almost surely, 2^64478964000 is an apocalyptic number.

64478964000 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 64478964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116494035840).

64478964000 is an abundant number, since it is smaller than the sum of its proper divisors (168509107680).

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

64478964000 is an equidigital number, since it uses as much as digits as its factorization.

64478964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 64478964000 in words is "sixty-four billion, four hundred seventy-eight million, nine hundred sixty-four thousand".