744274790064 has 240 divisors, whose sum is σ = 2297147973120. Its totient is φ = 223504565760.

The previous prime is 744274790041. The next prime is 744274790113. The reversal of 744274790064 is 460097472447.

744274790064 is a `hidden beast` number, since 7 + 442 + 74 + 79 + 0 + 0 + 64 = 666.

It is a super-2 number, since 2×744274790064² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 130320169 + ... + 130325879.

It is an arithmetic number, because the mean of its divisors is an integer number (9571449888).

Almost surely, 2^744274790064 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 744274790064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148573986560).

744274790064 is an abundant number, since it is smaller than the sum of its proper divisors (1552873183056).

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

744274790064 is a wasteful number, since it uses less digits than its factorization.

744274790064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7391 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 744274790064 in words is "seven hundred forty-four billion, two hundred seventy-four million, seven hundred ninety thousand, sixty-four".