7649601444 has 135 divisors (see below), whose sum is σ = 20656228593. Its totient is φ = 2468527488.

The previous prime is 7649601433. The next prime is 7649601481. The reversal of 7649601444 is 4441069467.

The square root of 7649601444 is 87462.

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

It can be written as a sum of positive squares in only one way, i.e., 134792100 + 7514809344 = 11610^2 + 86688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7649601444.

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, 67695532 + ... + 67695644.

Almost surely, 2^7649601444 is an apocalyptic number.

7649601444 is the 87462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7649601444

7649601444 is an abundant number, since it is smaller than the sum of its proper divisors (13006627149).

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

7649601444 is a wasteful number, since it uses less digits than its factorization.

7649601444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The cubic root of 7649601444 is about 1970.3631172060.

The spelling of 7649601444 in words is "seven billion, six hundred forty-nine million, six hundred one thousand, four hundred forty-four".