67267952640 has 960 divisors, whose sum is σ = 286359114600. Its totient is φ = 14566293504.

The previous prime is 67267952623. The next prime is 67267952651. The reversal of 67267952640 is 4625976276.

67267952640 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 79 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3540418551 + ... + 3540418569.

Almost surely, 2^67267952640 is an apocalyptic number.

67267952640 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 67267952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143179557300).

67267952640 is an abundant number, since it is smaller than the sum of its proper divisors (219091161960).

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

67267952640 is an frugal number, since it uses more digits than its factorization.

67267952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 67267952640 in words is "sixty-seven billion, two hundred sixty-seven million, nine hundred fifty-two thousand, six hundred forty".