64282014720 has 1584 divisors, whose sum is σ = 294919707264. Its totient is φ = 13138329600.

The previous prime is 64282014637. The next prime is 64282014773. The reversal of 64282014720 is 2741028246.

64282014720 is a `hidden beast` number, since 6 + 428 + 201 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1053803490 + ... + 1053803550.

Almost surely, 2^64282014720 is an apocalyptic number.

64282014720 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 64282014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459853632).

64282014720 is an abundant number, since it is smaller than the sum of its proper divisors (230637692544).

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

64282014720 is a wasteful number, since it uses less digits than its factorization.

64282014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 64282014720 in words is "sixty-four billion, two hundred eighty-two million, fourteen thousand, seven hundred twenty".