64819440 has 200 divisors, whose sum is σ = 257468640. Its totient is φ = 14805504.

The previous prime is 64819427. The next prime is 64819441. The reversal of 64819440 is 4491846.

It is a happy number.

64819440 is a `hidden beast` number, since 648 + 1 + 9 + 4 + 4 + 0 = 666.

64819440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 64819395 and 64819404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64819441) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 44646 + ... + 46074.

Almost surely, 2^64819440 is an apocalyptic number.

64819440 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 64819440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128734320).

64819440 is an abundant number, since it is smaller than the sum of its proper divisors (192649200).

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

64819440 is a wasteful number, since it uses less digits than its factorization.

64819440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 64819440 is about 8051.0521051599. The cubic root of 64819440 is about 401.6999320104.

The spelling of 64819440 in words is "sixty-four million, eight hundred nineteen thousand, four hundred forty".