1071732685968 has 720 divisors, whose sum is σ = 3931988336640. Its totient is φ = 280705824000.

The previous prime is 1071732685943. The next prime is 1071732685997. The reversal of 1071732685968 is 8695862371701.

1071732685968 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 7 + 32 + 6 + 8 + 596 + 8 = 666.

It is a super-2 number, since 2×1071732685968² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 112206793 + ... + 112216343.

It is an arithmetic number, because the mean of its divisors is an integer number (5461094912).

Almost surely, 2^{1071732685968} is an apocalyptic number.

1071732685968 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 1071732685968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965994168320).

1071732685968 is an abundant number, since it is smaller than the sum of its proper divisors (2860255650672).

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

1071732685968 is a wasteful number, since it uses less digits than its factorization.

1071732685968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9613 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1071732685968 in words is "one trillion, seventy-one billion, seven hundred thirty-two million, six hundred eighty-five thousand, nine hundred sixty-eight".