64314946080 has 1728 divisors, whose sum is σ = 300775265280. Its totient is φ = 12933043200.

The previous prime is 64314946079. The next prime is 64314946099. The reversal of 64314946080 is 8064941346.

64314946080 is a `hidden beast` number, since 6 + 4 + 31 + 4 + 9 + 4 + 608 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 2074675665 + ... + 2074675695.

It is an arithmetic number, because the mean of its divisors is an integer number (174059760).

Almost surely, 2^64314946080 is an apocalyptic number.

64314946080 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 64314946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150387632640).

64314946080 is an abundant number, since it is smaller than the sum of its proper divisors (236460319200).

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

64314946080 is a wasteful number, since it uses less digits than its factorization.

64314946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 64314946080 in words is "sixty-four billion, three hundred fourteen million, nine hundred forty-six thousand, eighty".