64889061120 has 720 divisors, whose sum is σ = 258277485312. Its totient is φ = 15447490560.

The previous prime is 64889061091. The next prime is 64889061131. The reversal of 64889061120 is 2116098846.

64889061120 is a `hidden beast` number, since 6 + 4 + 8 + 8 + 9 + 0 + 611 + 20 = 666.

64889061120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41782264 + ... + 41783816.

Almost surely, 2^64889061120 is an apocalyptic number.

64889061120 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 64889061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129138742656).

64889061120 is an abundant number, since it is smaller than the sum of its proper divisors (193388424192).

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

64889061120 is a wasteful number, since it uses less digits than its factorization.

64889061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 64889061120 in words is "sixty-four billion, eight hundred eighty-nine million, sixty-one thousand, one hundred twenty".