64070455680 has 960 divisors, whose sum is σ = 290486742480. Its totient is φ = 13307535360.

The previous prime is 64070455667. The next prime is 64070455703. The reversal of 64070455680 is 8655407046.

64070455680 is a `hidden beast` number, since 6 + 40 + 7 + 0 + 45 + 568 + 0 = 666.

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

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

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27940614 + ... + 27942906.

Almost surely, 2^64070455680 is an apocalyptic number.

64070455680 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 64070455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145243371240).

64070455680 is an abundant number, since it is smaller than the sum of its proper divisors (226416286800).

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

64070455680 is a wasteful number, since it uses less digits than its factorization.

64070455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 64070455680 in words is "sixty-four billion, seventy million, four hundred fifty-five thousand, six hundred eighty".