67754140440 has 192 divisors, whose sum is σ = 236636640000. Its totient is φ = 15474316032.

The previous prime is 67754140427. The next prime is 67754140457. The reversal of 67754140440 is 4404145776.

67754140440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 67754140392 and 67754140401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8810277 + ... + 8817963.

It is an arithmetic number, because the mean of its divisors is an integer number (1232482500).

Almost surely, 2^67754140440 is an apocalyptic number.

67754140440 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 67754140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118318320000).

67754140440 is an abundant number, since it is smaller than the sum of its proper divisors (168882499560).

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

67754140440 is a wasteful number, since it uses less digits than its factorization.

67754140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 67754140440 in words is "sixty-seven billion, seven hundred fifty-four million, one hundred forty thousand, four hundred forty".