64378080 has 288 divisors, whose sum is σ = 250417440. Its totient is φ = 14929920.

The previous prime is 64378049. The next prime is 64378091. The reversal of 64378080 is 8087346.

64378080 is a `hidden beast` number, since 643 + 7 + 8 + 0 + 8 + 0 = 666.

64378080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355590 + ... + 355770.

It is an arithmetic number, because the mean of its divisors is an integer number (869505).

Almost surely, 2^64378080 is an apocalyptic number.

64378080 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 64378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125208720).

64378080 is an abundant number, since it is smaller than the sum of its proper divisors (186039360).

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

64378080 is a wasteful number, since it uses less digits than its factorization.

64378080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 64378080 is about 8023.5952041463. The cubic root of 64378080 is about 400.7861206902.

The spelling of 64378080 in words is "sixty-four million, three hundred seventy-eight thousand, eighty".