10754324064 has 288 divisors, whose sum is σ = 35286451200. Its totient is φ = 3072660480.

The previous prime is 10754324051. The next prime is 10754324071. The reversal of 10754324064 is 46042345701.

10754324064 is a `hidden beast` number, since 10 + 7 + 543 + 2 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22451377 + ... + 22451855.

It is an arithmetic number, because the mean of its divisors is an integer number (122522400).

Almost surely, 2^10754324064 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 10754324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643225600).

10754324064 is an abundant number, since it is smaller than the sum of its proper divisors (24532127136).

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

10754324064 is a wasteful number, since it uses less digits than its factorization.

10754324064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 10754324064 its reverse (46042345701), we get a palindrome (56796669765).

The spelling of 10754324064 in words is "ten billion, seven hundred fifty-four million, three hundred twenty-four thousand, sixty-four".