67806123840 has 2240 divisors, whose sum is σ = 334582617600. Its totient is φ = 12612796416.

The previous prime is 67806123799. The next prime is 67806123881. The reversal of 67806123840 is 4832160876.

It is an interprime number because it is at equal distance from previous prime (67806123799) and next prime (67806123881).

It is a tau number, because it is divible by the number of its divisors (2240).

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 (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 761866516 + ... + 761866604.

It is an arithmetic number, because the mean of its divisors is an integer number (149367240).

Almost surely, 2^67806123840 is an apocalyptic number.

67806123840 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 67806123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167291308800).

67806123840 is an abundant number, since it is smaller than the sum of its proper divisors (266776493760).

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

67806123840 is a wasteful number, since it uses less digits than its factorization.

67806123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 67806123840 in words is "sixty-seven billion, eight hundred six million, one hundred twenty-three thousand, eight hundred forty".