64225781760 has 288 divisors, whose sum is σ = 239024429280. Its totient is φ = 14679834624.

The previous prime is 64225781749. The next prime is 64225781761. The reversal of 64225781760 is 6718752246.

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

It is not an unprimeable number, because it can be changed into a prime (64225781761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483947 + ... + 1526613.

It is an arithmetic number, because the mean of its divisors is an integer number (829945935).

Almost surely, 2^64225781760 is an apocalyptic number.

64225781760 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 64225781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119512214640).

64225781760 is an abundant number, since it is smaller than the sum of its proper divisors (174798647520).

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

64225781760 is a wasteful number, since it uses less digits than its factorization.

64225781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42711 (or 42684 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 64225781760 in words is "sixty-four billion, two hundred twenty-five million, seven hundred eighty-one thousand, seven hundred sixty".