64140450048 has 360 divisors, whose sum is σ = 196770974400. Its totient is φ = 20772827136.

The previous prime is 64140450043. The next prime is 64140450079. The reversal of 64140450048 is 84005404146.

It is a happy number.

64140450048 is a `hidden beast` number, since 6 + 4 + 140 + 4 + 500 + 4 + 8 = 666.

It is a super-2 number, since 2×64140450048² (a number of 22 digits) contains 22 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 = 64140449994 and 64140450021.

It is not an unprimeable number, because it can be changed into a prime (64140450043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126012418 + ... + 126012926.

It is an arithmetic number, because the mean of its divisors is an integer number (546586040).

Almost surely, 2^64140450048 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 64140450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98385487200).

64140450048 is an abundant number, since it is smaller than the sum of its proper divisors (132630524352).

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

64140450048 is a wasteful number, since it uses less digits than its factorization.

64140450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 64140450048 in words is "sixty-four billion, one hundred forty million, four hundred fifty thousand, forty-eight".