64969605120 has 512 divisors, whose sum is σ = 248231900160. Its totient is φ = 14187233280.

The previous prime is 64969605083. The next prime is 64969605121. The reversal of 64969605120 is 2150696946.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64969605120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64969605121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79134310 + ... + 79135130.

It is an arithmetic number, because the mean of its divisors is an integer number (484827930).

Almost surely, 2^64969605120 is an apocalyptic number.

64969605120 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 64969605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124115950080).

64969605120 is an abundant number, since it is smaller than the sum of its proper divisors (183262295040).

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

64969605120 is an equidigital number, since it uses as much as digits as its factorization.

64969605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 64969605120 in words is "sixty-four billion, nine hundred sixty-nine million, six hundred five thousand, one hundred twenty".