64468080 has 240 divisors, whose sum is σ = 240252480. Its totient is φ = 15409152.

The previous prime is 64468069. The next prime is 64468109. The reversal of 64468080 is 8086446.

64468080 is a `hidden beast` number, since 644 + 6 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×64468080² = 8312266677772800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281406 + ... + 281634.

It is an arithmetic number, because the mean of its divisors is an integer number (1001052).

Almost surely, 2^64468080 is an apocalyptic number.

64468080 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 64468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120126240).

64468080 is an abundant number, since it is smaller than the sum of its proper divisors (175784400).

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

64468080 is a wasteful number, since it uses less digits than its factorization.

64468080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64468080 is about 8029.2017037810. The cubic root of 64468080 is about 400.9727989045.

The spelling of 64468080 in words is "sixty-four million, four hundred sixty-eight thousand, eighty".