67625007744 has 768 divisors, whose sum is σ = 238072504320. Its totient is φ = 16564027392.

The previous prime is 67625007743. The next prime is 67625007763. The reversal of 67625007744 is 44770052676.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 67625007693 and 67625007702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67625007743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1438829929 + ... + 1438829975.

It is an arithmetic number, because the mean of its divisors is an integer number (309990240).

Almost surely, 2^67625007744 is an apocalyptic number.

67625007744 is a gapful number since it is divisible by the number (64) 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 67625007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119036252160).

67625007744 is an abundant number, since it is smaller than the sum of its proper divisors (170447496576).

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

67625007744 is a wasteful number, since it uses less digits than its factorization.

67625007744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 67625007744 in words is "sixty-seven billion, six hundred twenty-five million, seven thousand, seven hundred forty-four".