67545757440 has 720 divisors, whose sum is σ = 278079234048. Its totient is φ = 15398719488.

The previous prime is 67545757429. The next prime is 67545757453. The reversal of 67545757440 is 4475754576.

67545757440 is a `hidden beast` number, since 6 + 7 + 545 + 7 + 57 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176359489 + ... + 176359871.

Almost surely, 2^67545757440 is an apocalyptic number.

67545757440 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 67545757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139039617024).

67545757440 is an abundant number, since it is smaller than the sum of its proper divisors (210533476608).

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

67545757440 is an frugal number, since it uses more digits than its factorization.

67545757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 67545757440 in words is "sixty-seven billion, five hundred forty-five million, seven hundred fifty-seven thousand, four hundred forty".