1068372135936 has 1248 divisors, whose sum is σ = 3915575838720. Its totient is φ = 284488630272.

The previous prime is 1068372135829. The next prime is 1068372135979. The reversal of 1068372135936 is 6395312738601.

1068372135936 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 37 + 2 + 13 + 593 + 6 = 666.

It is a super-2 number, since 2×1068372135936² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9454620616 + ... + 9454620728.

It is an arithmetic number, because the mean of its divisors is an integer number (3137480640).

Almost surely, 2^{1068372135936} is an apocalyptic number.

1068372135936 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 1068372135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957787919360).

1068372135936 is an abundant number, since it is smaller than the sum of its proper divisors (2847203702784).

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

1068372135936 is an equidigital number, since it uses as much as digits as its factorization.

1068372135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1068372135936 in words is "one trillion, sixty-eight billion, three hundred seventy-two million, one hundred thirty-five thousand, nine hundred thirty-six".