64409078448 has 960 divisors, whose sum is σ = 235128950784. Its totient is φ = 16796160000.

The previous prime is 64409078431. The next prime is 64409078563. The reversal of 64409078448 is 84487090446.

64409078448 is a `hidden beast` number, since 6 + 4 + 40 + 90 + 78 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64409078394 and 64409078403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 637713598 + ... + 637713698.

Almost surely, 2^64409078448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64409078448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117564475392).

64409078448 is an abundant number, since it is smaller than the sum of its proper divisors (170719872336).

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

64409078448 is a wasteful number, since it uses less digits than its factorization.

64409078448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 64409078448 in words is "sixty-four billion, four hundred nine million, seventy-eight thousand, four hundred forty-eight".