64082707920 has 480 divisors, whose sum is σ = 269375258880. Its totient is φ = 13263298560.

The previous prime is 64082707891. The next prime is 64082707993. The reversal of 64082707920 is 2970728046.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14911212 + ... + 14915508.

It is an arithmetic number, because the mean of its divisors is an integer number (561198456).

Almost surely, 2^64082707920 is an apocalyptic number.

64082707920 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 64082707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134687629440).

64082707920 is an abundant number, since it is smaller than the sum of its proper divisors (205292550960).

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

64082707920 is a wasteful number, since it uses less digits than its factorization.

64082707920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 64082707920 in words is "sixty-four billion, eighty-two million, seven hundred seven thousand, nine hundred twenty".