2967649664 has 32 divisors (see below), whose sum is σ = 6756704400. Its totient is φ = 1271849472.

The previous prime is 2967649661. The next prime is 2967649669. The reversal of 2967649664 is 4669467692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967649661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1655159 + ... + 1656950.

Almost surely, 2^2967649664 is an apocalyptic number.

It is an amenable number.

2967649664 is an abundant number, since it is smaller than the sum of its proper divisors (3789054736).

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

2967649664 is an equidigital number, since it uses as much as digits as its factorization.

2967649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312130 (or 3312118 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 59.

The square root of 2967649664 is about 54476.1384828257. The cubic root of 2967649664 is about 1437.0466837686.

The spelling of 2967649664 in words is "two billion, nine hundred sixty-seven million, six hundred forty-nine thousand, six hundred sixty-four".