64478292480 has 960 divisors, whose sum is σ = 268107840000. Its totient is φ = 14306181120.

The previous prime is 64478292467. The next prime is 64478292491. The reversal of 64478292480 is 8429287446.

64478292480 is a `hidden beast` number, since 6 + 4 + 4 + 78 + 2 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×64478292480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324011421 + ... + 324011619.

It is an arithmetic number, because the mean of its divisors is an integer number (279279000).

Almost surely, 2^64478292480 is an apocalyptic number.

64478292480 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 64478292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920000).

64478292480 is an abundant number, since it is smaller than the sum of its proper divisors (203629547520).

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

64478292480 is a wasteful number, since it uses less digits than its factorization.

64478292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 64478292480 in words is "sixty-four billion, four hundred seventy-eight million, two hundred ninety-two thousand, four hundred eighty".