754640216064 has 784 divisors, whose sum is σ = 2698417717200. Its totient is φ = 208176611328.

The previous prime is 754640216059. The next prime is 754640216173. The reversal of 754640216064 is 460612046457.

754640216064 is a `hidden beast` number, since 7 + 546 + 40 + 2 + 1 + 6 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

It is a super-2 number, since 2×754640216064² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26022076402 + ... + 26022076430.

Almost surely, 2^754640216064 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 754640216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349208858600).

754640216064 is an abundant number, since it is smaller than the sum of its proper divisors (1943777501136).

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

754640216064 is an frugal number, since it uses more digits than its factorization.

754640216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 754640216064 in words is "seven hundred fifty-four billion, six hundred forty million, two hundred sixteen thousand, sixty-four".