3628976064000 has 1920 divisors, whose sum is σ = 15145917456384. Its totient is φ = 766402560000.

The previous prime is 3628976063989. The next prime is 3628976064037. The reversal of 3628976064000 is 4606798263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6707903730 + ... + 6707904270.

Almost surely, 2^{3628976064000} is an apocalyptic number.

3628976064000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3628976064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572958728192).

3628976064000 is an abundant number, since it is smaller than the sum of its proper divisors (11516941392384).

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

3628976064000 is a wasteful number, since it uses less digits than its factorization.

3628976064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 3628976064000 in words is "three trillion, six hundred twenty-eight billion, nine hundred seventy-six million, sixty-four thousand".