64073449440 has 1440 divisors, whose sum is σ = 306590961600. Its totient is φ = 12262440960.

The previous prime is 64073449423. The next prime is 64073449483. The reversal of 64073449440 is 4494437046.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 142702336 + ... + 142702784.

It is an arithmetic number, because the mean of its divisors is an integer number (212910390).

Almost surely, 2^64073449440 is an apocalyptic number.

64073449440 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 64073449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153295480800).

64073449440 is an abundant number, since it is smaller than the sum of its proper divisors (242517512160).

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

64073449440 is a wasteful number, since it uses less digits than its factorization.

64073449440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 64073449440 in words is "sixty-four billion, seventy-three million, four hundred forty-nine thousand, four hundred forty".