67959440640 has 1296 divisors, whose sum is σ = 306361980288. Its totient is φ = 14338695168.

The previous prime is 67959440629. The next prime is 67959440723. The reversal of 67959440640 is 4604495976.

It is a happy number.

67959440640 is a `hidden beast` number, since 6 + 7 + 9 + 594 + 4 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5227649274 + ... + 5227649286.

Almost surely, 2^67959440640 is an apocalyptic number.

67959440640 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 67959440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153180990144).

67959440640 is an abundant number, since it is smaller than the sum of its proper divisors (238402539648).

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

67959440640 is an frugal number, since it uses more digits than its factorization.

67959440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 67959440640 in words is "sixty-seven billion, nine hundred fifty-nine million, four hundred forty thousand, six hundred forty".