64042513920 has 1440 divisors, whose sum is σ = 293417220096. Its totient is φ = 13237862400.

The previous prime is 64042513889. The next prime is 64042513937. The reversal of 64042513920 is 2931524046.

It is a happy number.

64042513920 is a `hidden beast` number, since 640 + 4 + 2 + 5 + 1 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335301025 + ... + 335301215.

Almost surely, 2^64042513920 is an apocalyptic number.

64042513920 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 64042513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146708610048).

64042513920 is an abundant number, since it is smaller than the sum of its proper divisors (229374706176).

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

64042513920 is a wasteful number, since it uses less digits than its factorization.

64042513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64042513920 in words is "sixty-four billion, forty-two million, five hundred thirteen thousand, nine hundred twenty".