3667147461504 has 128 divisors (see below), whose sum is σ = 10833810048000. Its totient is φ = 1221181724160.

The previous prime is 3667147461491. The next prime is 3667147461521. The reversal of 3667147461504 is 4051647417663.

3667147461504 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 1 + 4 + 74 + 61 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3001009 + ... + 4042319.

It is an arithmetic number, because the mean of its divisors is an integer number (84639141000).

Almost surely, 2^{3667147461504} 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 3667147461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416905024000).

3667147461504 is an abundant number, since it is smaller than the sum of its proper divisors (7166662586496).

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

3667147461504 is a wasteful number, since it uses less digits than its factorization.

3667147461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042353 (or 1042335 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3667147461504 in words is "three trillion, six hundred sixty-seven billion, one hundred forty-seven million, four hundred sixty-one thousand, five hundred four".