3667496760090 has 96 divisors (see below), whose sum is σ = 9774106432272. Its totient is φ = 953555328000.

The previous prime is 3667496760043. The next prime is 3667496760097. The reversal of 3667496760090 is 900676947663.

3667496760090 is a `hidden beast` number, since 366 + 74 + 9 + 67 + 60 + 0 + 90 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 680818063689 + 2986678696401 = 825117^2 + 1728201^2 .

It is not an unprimeable number, because it can be changed into a prime (3667496760097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5674920 + ... + 6288060.

Almost surely, 2^{3667496760090} is an apocalyptic number.

3667496760090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667496760090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887053216136).

3667496760090 is an abundant number, since it is smaller than the sum of its proper divisors (6106609672182).

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

3667496760090 is a wasteful number, since it uses less digits than its factorization.

3667496760090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614816 (or 614813 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 3667496760090 in words is "three trillion, six hundred sixty-seven billion, four hundred ninety-six million, seven hundred sixty thousand, ninety".