67825440000 has 1080 divisors, whose sum is σ = 268125297440. Its totient is φ = 16422912000.

The previous prime is 67825439947. The next prime is 67825440031. The reversal of 67825440000 is 4452876.

It is a super-2 number, since 2×67825440000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1012319967 + ... + 1012320033.

Almost surely, 2^67825440000 is an apocalyptic number.

67825440000 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 67825440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134062648720).

67825440000 is an abundant number, since it is smaller than the sum of its proper divisors (200299857440).

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

67825440000 is a wasteful number, since it uses less digits than its factorization.

67825440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 67825440000 its reverse (4452876), we get a palindrome (67829892876).

The spelling of 67825440000 in words is "sixty-seven billion, eight hundred twenty-five million, four hundred forty thousand".