64447488000 has 1344 divisors, whose sum is σ = 282808850688. Its totient is φ = 14332723200.

The previous prime is 64447487989. The next prime is 64447488011. The reversal of 64447488000 is 88474446.

It is an interprime number because it is at equal distance from previous prime (64447487989) and next prime (64447488011).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1741823982 + ... + 1741824018.

It is an arithmetic number, because the mean of its divisors is an integer number (210423252).

Almost surely, 2^64447488000 is an apocalyptic number.

64447488000 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 64447488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141404425344).

64447488000 is an abundant number, since it is smaller than the sum of its proper divisors (218361362688).

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

64447488000 is an frugal number, since it uses more digits than its factorization.

64447488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 64447488000 in words is "sixty-four billion, four hundred forty-seven million, four hundred eighty-eight thousand".