64301420160 has 1024 divisors, whose sum is σ = 260576870400. Its totient is φ = 14890106880.

The previous prime is 64301420147. The next prime is 64301420189. The reversal of 64301420160 is 6102410346.

64301420160 is a `hidden beast` number, since 643 + 0 + 1 + 4 + 2 + 0 + 16 + 0 = 666.

64301420160 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 209450727 + ... + 209451033.

It is an arithmetic number, because the mean of its divisors is an integer number (254469600).

Almost surely, 2^64301420160 is an apocalyptic number.

64301420160 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 64301420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130288435200).

64301420160 is an abundant number, since it is smaller than the sum of its proper divisors (196275450240).

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

64301420160 is a wasteful number, since it uses less digits than its factorization.

64301420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 64301420160 in words is "sixty-four billion, three hundred one million, four hundred twenty thousand, one hundred sixty".