64456093440 has 720 divisors, whose sum is σ = 241200257760. Its totient is φ = 16420700160.

The previous prime is 64456093417. The next prime is 64456093447. The reversal of 64456093440 is 4439065446.

64456093440 is a `hidden beast` number, since 6 + 4 + 4 + 5 + 609 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×64456093440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64456093447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 250801792 + ... + 250802048.

It is an arithmetic number, because the mean of its divisors is an integer number (335000358).

Almost surely, 2^64456093440 is an apocalyptic number.

64456093440 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 64456093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120600128880).

64456093440 is an abundant number, since it is smaller than the sum of its proper divisors (176744164320).

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

64456093440 is a wasteful number, since it uses less digits than its factorization.

64456093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 64456093440 in words is "sixty-four billion, four hundred fifty-six million, ninety-three thousand, four hundred forty".