64126689120 has 864 divisors, whose sum is σ = 253310174208. Its totient is φ = 15237476352.

The previous prime is 64126689103. The next prime is 64126689163. The reversal of 64126689120 is 2198662146.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×64126689120² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 504934497 + ... + 504934623.

It is an arithmetic number, because the mean of its divisors is an integer number (293183072).

Almost surely, 2^64126689120 is an apocalyptic number.

64126689120 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 64126689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126655087104).

64126689120 is an abundant number, since it is smaller than the sum of its proper divisors (189183485088).

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

64126689120 is a wasteful number, since it uses less digits than its factorization.

64126689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 64126689120 in words is "sixty-four billion, one hundred twenty-six million, six hundred eighty-nine thousand, one hundred twenty".