3630134510464 has 128 divisors (see below), whose sum is σ = 9100673637120. Its totient is φ = 1401119600640.

The previous prime is 3630134510449. The next prime is 3630134510477. The reversal of 3630134510464 is 4640154310363.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 666517 + ... + 2775700.

It is an arithmetic number, because the mean of its divisors is an integer number (71099012790).

Almost surely, 2^{3630134510464} is an apocalyptic number.

It is an amenable number.

3630134510464 is an abundant number, since it is smaller than the sum of its proper divisors (5470539126656).

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

3630134510464 is a wasteful number, since it uses less digits than its factorization.

3630134510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442356 (or 3442344 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 3630134510464 in words is "three trillion, six hundred thirty billion, one hundred thirty-four million, five hundred ten thousand, four hundred sixty-four".