68035645440 has 1248 divisors, whose sum is σ = 294026757120. Its totient is φ = 15049359360.

The previous prime is 68035645427. The next prime is 68035645451. The reversal of 68035645440 is 4454653086.

68035645440 is a `hidden beast` number, since 6 + 80 + 3 + 564 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2194698225 + ... + 2194698255.

Almost surely, 2^68035645440 is an apocalyptic number.

68035645440 is a gapful number since it is divisible by the number (60) 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 68035645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147013378560).

68035645440 is an abundant number, since it is smaller than the sum of its proper divisors (225991111680).

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

68035645440 is an frugal number, since it uses more digits than its factorization.

68035645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 68035645440 in words is "sixty-eight billion, thirty-five million, six hundred forty-five thousand, four hundred forty".