367661019442752 has 728 divisors, whose sum is σ = 1264828956727680. Its totient is φ = 103859727206400.

The previous prime is 367661019442681. The next prime is 367661019442771. The reversal of 367661019442752 is 257244910166763.

367661019442752 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 6 + 10 + 194 + 427 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 367661019442752.

It is an unprimeable number.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 21189606877 + ... + 21189624227.

Almost surely, 2^{367661019442752} is an apocalyptic number.

367661019442752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 367661019442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632414478363840).

367661019442752 is an abundant number, since it is smaller than the sum of its proper divisors (897167937284928).

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

367661019442752 is an frugal number, since it uses more digits than its factorization.

367661019442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17495 (or 17452 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 367661019442752 in words is "three hundred sixty-seven trillion, six hundred sixty-one billion, nineteen million, four hundred forty-two thousand, seven hundred fifty-two".