64126216000 has 448 divisors, whose sum is σ = 208453939200. Its totient is φ = 18931968000.

The previous prime is 64126215991. The next prime is 64126216013. The reversal of 64126216000 is 61262146.

64126216000 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 (448).

It is a super-2 number, since 2×64126216000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 64126216000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11701261 + ... + 11706739.

Almost surely, 2^64126216000 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 64126216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104226969600).

64126216000 is an abundant number, since it is smaller than the sum of its proper divisors (144327723200).

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

64126216000 is a wasteful number, since it uses less digits than its factorization.

64126216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 64126216000 its reverse (61262146), we get a palindrome (64187478146).

It can be divided in two parts, 64126 and 216000, that added together give a triangular number (280126 = T₇₄₈).

The spelling of 64126216000 in words is "sixty-four billion, one hundred twenty-six million, two hundred sixteen thousand".