64775167783872 has 224 divisors, whose sum is σ = 211172377930752. Its totient is φ = 17064296718336.

The previous prime is 64775167783867. The next prime is 64775167783873. The reversal of 64775167783872 is 27838776157746.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×64775167783872² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64775167783873) 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, 13407828 + ... + 17587500.

It is an arithmetic number, because the mean of its divisors is an integer number (942733830048).

Almost surely, 2^{64775167783872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64775167783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105586188965376).

64775167783872 is an abundant number, since it is smaller than the sum of its proper divisors (146397210146880).

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

64775167783872 is a wasteful number, since it uses less digits than its factorization.

64775167783872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180595 (or 4180585 counting only the distinct ones).

The product of its digits is 4646799360, while the sum is 78.

The spelling of 64775167783872 in words is "sixty-four trillion, seven hundred seventy-five billion, one hundred sixty-seven million, seven hundred eighty-three thousand, eight hundred seventy-two".