68757923969280 has 4320 divisors, whose sum is σ = 317835874540800. Its totient is φ = 13884968927232.

The previous prime is 68757923969237. The next prime is 68757923969299. The reversal of 68757923969280 is 8296932975786.

68757923969280 is a `hidden beast` number, since 6 + 8 + 7 + 57 + 92 + 396 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 68757923969280.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 494661323451 + ... + 494661323589.

Almost surely, 2^{68757923969280} is an apocalyptic number.

68757923969280 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 68757923969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158917937270400).

68757923969280 is an abundant number, since it is smaller than the sum of its proper divisors (249077950571520).

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

68757923969280 is a wasteful number, since it uses less digits than its factorization.

68757923969280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 68757923969280 in words is "sixty-eight trillion, seven hundred fifty-seven billion, nine hundred twenty-three million, nine hundred sixty-nine thousand, two hundred eighty".