3667375648000 has 72 divisors (see below), whose sum is σ = 9135891240840. Its totient is φ = 1466950246400.

The previous prime is 3667375647919. The next prime is 3667375648021. The reversal of 3667375648000 is 8465737663.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 106516071424 + 3560859576576 = 326368^2 + 1887024^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57270745 + ... + 57334744.

It is an arithmetic number, because the mean of its divisors is an integer number (126887378345).

Almost surely, 2^{3667375648000} is an apocalyptic number.

It is an amenable number.

3667375648000 is an abundant number, since it is smaller than the sum of its proper divisors (5468515592840).

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

3667375648000 is an equidigital number, since it uses as much as digits as its factorization.

3667375648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114605520 (or 114605496 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 3667375648000 in words is "three trillion, six hundred sixty-seven billion, three hundred seventy-five million, six hundred forty-eight thousand".