7444672704 has 252 divisors, whose sum is σ = 24970727808. Its totient is φ = 2114380800.

The previous prime is 7444672693. The next prime is 7444672717. The reversal of 7444672704 is 4072764447.

7444672704 is a `hidden beast` number, since 74 + 446 + 72 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 7444672704.

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 35 ways as a sum of consecutive naturals, for example, 5390094 + ... + 5391474.

Almost surely, 2^7444672704 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 7444672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485363904).

7444672704 is an abundant number, since it is smaller than the sum of its proper divisors (17526055104).

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

7444672704 is a wasteful number, since it uses less digits than its factorization.

7444672704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The square root of 7444672704 is about 86282.5167922216. The cubic root of 7444672704 is about 1952.6086239293.

The spelling of 7444672704 in words is "seven billion, four hundred forty-four million, six hundred seventy-two thousand, seven hundred four".