68807222447040 has 1344 divisors, whose sum is σ = 301635101933568. Its totient is φ = 13979925504000.

The previous prime is 68807222446997. The next prime is 68807222447057. The reversal of 68807222447040 is 4074422270886.

68807222447040 is a `hidden beast` number, since 6 + 8 + 80 + 72 + 2 + 24 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13622492515 + ... + 13622497565.

Almost surely, 2^{68807222447040} is an apocalyptic number.

68807222447040 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 68807222447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150817550966784).

68807222447040 is an abundant number, since it is smaller than the sum of its proper divisors (232827879486528).

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

68807222447040 is a wasteful number, since it uses less digits than its factorization.

68807222447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 68807222447040 in words is "sixty-eight trillion, eight hundred seven billion, two hundred twenty-two million, four hundred forty-seven thousand, forty".