3649079064960 has 1024 divisors, whose sum is σ = 15608291328000. Its totient is φ = 787664756736.

The previous prime is 3649079064863. The next prime is 3649079064971. The reversal of 3649079064960 is 694609709463.

3649079064960 is a `hidden beast` number, since 36 + 49 + 0 + 79 + 0 + 6 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 219776019 + ... + 219792621.

It is an arithmetic number, because the mean of its divisors is an integer number (15242472000).

Almost surely, 2^{3649079064960} is an apocalyptic number.

3649079064960 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 3649079064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804145664000).

3649079064960 is an abundant number, since it is smaller than the sum of its proper divisors (11959212263040).

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

3649079064960 is a wasteful number, since it uses less digits than its factorization.

3649079064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16740 (or 16722 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 3649079064960 in words is "three trillion, six hundred forty-nine billion, seventy-nine million, sixty-four thousand, nine hundred sixty".