744506671104 has 675 divisors, whose sum is σ = 2611812646443. Its totient is φ = 210728189952.

The previous prime is 744506671087. The next prime is 744506671121. The reversal of 744506671104 is 401176605447.

The square root of 744506671104 is 862848.

It is a perfect power (a square), and thus also a powerful number.

744506671104 is a `hidden beast` number, since 74 + 4 + 506 + 6 + 71 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (744506671087) and next prime (744506671121).

It is a self number, because there is not a number n which added to its sum of digits gives 744506671104.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6958006219 + ... + 6958006325.

Almost surely, 2^744506671104 is an apocalyptic number.

744506671104 is the 862848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744506671104

744506671104 is an abundant number, since it is smaller than the sum of its proper divisors (1867305975339).

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

744506671104 is an frugal number, since it uses more digits than its factorization.

744506671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 744506671104 in words is "seven hundred forty-four billion, five hundred six million, six hundred seventy-one thousand, one hundred four".