67868785440 has 360 divisors, whose sum is σ = 244280529108. Its totient is φ = 17740892160.

The previous prime is 67868785433. The next prime is 67868785493. The reversal of 67868785440 is 4458786876.

67868785440 is a `hidden beast` number, since 6 + 7 + 8 + 6 + 87 + 8 + 544 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45773746704 + 22095038736 = 213948^2 + 148644^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 231633934 + ... + 231634226.

Almost surely, 2^67868785440 is an apocalyptic number.

67868785440 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 67868785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122140264554).

67868785440 is an abundant number, since it is smaller than the sum of its proper divisors (176411743668).

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

67868785440 is an equidigital number, since it uses as much as digits as its factorization.

67868785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 67868785440 in words is "sixty-seven billion, eight hundred sixty-eight million, seven hundred eighty-five thousand, four hundred forty".