3667523773068 has 144 divisors (see below), whose sum is σ = 9496316400480. Its totient is φ = 1193017033728.

The previous prime is 3667523773031. The next prime is 3667523773093. The reversal of 3667523773068 is 8603773257663.

3667523773068 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 523 + 77 + 30 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3667523772996 and 3667523773014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330015480 + ... + 330026592.

It is an arithmetic number, because the mean of its divisors is an integer number (65946641670).

Almost surely, 2^{3667523773068} 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 3667523773068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748158200240).

3667523773068 is an abundant number, since it is smaller than the sum of its proper divisors (5828792627412).

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

3667523773068 is a wasteful number, since it uses less digits than its factorization.

3667523773068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 12083 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 63.

The spelling of 3667523773068 in words is "three trillion, six hundred sixty-seven billion, five hundred twenty-three million, seven hundred seventy-three thousand, sixty-eight".