1667382561936 has 960 divisors, whose sum is σ = 6268487680000. Its totient is φ = 401361039360.

The previous prime is 1667382561877. The next prime is 1667382561953. The reversal of 1667382561936 is 6391652837661.

1667382561936 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 3 + 8 + 2 + 5 + 619 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2693671035 + ... + 2693671653.

Almost surely, 2^{1667382561936} is an apocalyptic number.

1667382561936 is a gapful number since it is divisible by the number (16) 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 1667382561936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134243840000).

1667382561936 is an abundant number, since it is smaller than the sum of its proper divisors (4601105118064).

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

1667382561936 is a wasteful number, since it uses less digits than its factorization.

1667382561936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1043 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 1667382561936 in words is "one trillion, six hundred sixty-seven billion, three hundred eighty-two million, five hundred sixty-one thousand, nine hundred thirty-six".