3601264673664 has 768 divisors, whose sum is σ = 12358491425280. Its totient is φ = 985333579776.

The previous prime is 3601264673593. The next prime is 3601264673681. The reversal of 3601264673664 is 4663764621063.

3601264673664 is a `hidden beast` number, since 3 + 601 + 26 + 4 + 6 + 7 + 3 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3601264673664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4518524914 + ... + 4518525710.

It is an arithmetic number, because the mean of its divisors is an integer number (16091785710).

Almost surely, 2^{3601264673664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3601264673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179245712640).

3601264673664 is an abundant number, since it is smaller than the sum of its proper divisors (8757226751616).

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

3601264673664 is a wasteful number, since it uses less digits than its factorization.

3601264673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 3601264673664 in words is "three trillion, six hundred one billion, two hundred sixty-four million, six hundred seventy-three thousand, six hundred sixty-four".