1181634367680 has 896 divisors, whose sum is σ = 4578958218240. Its totient is φ = 285101752320.

The previous prime is 1181634367631. The next prime is 1181634367703. The reversal of 1181634367680 is 867634361811.

1181634367680 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 63 + 436 + 76 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1730064619 + ... + 1730065301.

It is an arithmetic number, because the mean of its divisors is an integer number (5110444440).

Almost surely, 2^{1181634367680} is an apocalyptic number.

1181634367680 is a gapful number since it is divisible by the number (10) 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 1181634367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289479109120).

1181634367680 is an abundant number, since it is smaller than the sum of its proper divisors (3397323850560).

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

1181634367680 is a wasteful number, since it uses less digits than its factorization.

1181634367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1181634367680 in words is "one trillion, one hundred eighty-one billion, six hundred thirty-four million, three hundred sixty-seven thousand, six hundred eighty".