67964127840 has 1536 divisors, whose sum is σ = 308883456000. Its totient is φ = 13598171136.

The previous prime is 67964127793. The next prime is 67964127871. The reversal of 67964127840 is 4872146976.

67964127840 is a `hidden beast` number, since 67 + 96 + 412 + 7 + 84 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 488950491 + ... + 488950629.

It is an arithmetic number, because the mean of its divisors is an integer number (201096000).

Almost surely, 2^67964127840 is an apocalyptic number.

67964127840 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 67964127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728000).

67964127840 is an abundant number, since it is smaller than the sum of its proper divisors (240919328160).

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

67964127840 is a wasteful number, since it uses less digits than its factorization.

67964127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 67964127840 in words is "sixty-seven billion, nine hundred sixty-four million, one hundred twenty-seven thousand, eight hundred forty".