1607978631168 has 2160 divisors, whose sum is σ = 6608139239520. Its totient is φ = 370994577408.

The previous prime is 1607978631167. The next prime is 1607978631173. The reversal of 1607978631168 is 8611368797061.

1607978631168 is a `hidden beast` number, since 1 + 607 + 9 + 7 + 8 + 6 + 3 + 1 + 16 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1607978631167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30339219430 + ... + 30339219482.

It is an arithmetic number, because the mean of its divisors is an integer number (3059323722).

Almost surely, 2^{1607978631168} is an apocalyptic number.

1607978631168 is a gapful number since it is divisible by the number (18) 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 1607978631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304069619760).

1607978631168 is an abundant number, since it is smaller than the sum of its proper divisors (5000160608352).

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

1607978631168 is a wasteful number, since it uses less digits than its factorization.

1607978631168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 1607978631168 in words is "one trillion, six hundred seven billion, nine hundred seventy-eight million, six hundred thirty-one thousand, one hundred sixty-eight".