64484640 has 384 divisors, whose sum is σ = 261273600. Its totient is φ = 14699520.

The previous prime is 64484639. The next prime is 64484647. The reversal of 64484640 is 4648446.

64484640 = T₈₀ + T₈₁ + ... + T₇₂₈.

64484640 is a `hidden beast` number, since 6 + 4 + 4 + 8 + 4 + 640 = 666.

It is a super-3 number, since 3×64484640³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64484595 and 64484604.

It is not an unprimeable number, because it can be changed into a prime (64484647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092931 + ... + 1092989.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^64484640 is an apocalyptic number.

64484640 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 64484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

64484640 is an abundant number, since it is smaller than the sum of its proper divisors (196788960).

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

64484640 is a wasteful number, since it uses less digits than its factorization.

64484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 64484640 is about 8030.2328733356. The cubic root of 64484640 is about 401.0071287676.

The spelling of 64484640 in words is "sixty-four million, four hundred eighty-four thousand, six hundred forty".