68978386944000 has 1200 divisors, whose sum is σ = 258863708078976. Its totient is φ = 18274222080000.

The previous prime is 68978386943971. The next prime is 68978386944023. The reversal of 68978386944000 is 44968387986.

68978386944000 is a `hidden beast` number, since 6 + 8 + 97 + 8 + 38 + 69 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 68978386944000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27039742725 + ... + 27039745275.

Almost surely, 2^{68978386944000} is an apocalyptic number.

68978386944000 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 68978386944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129431854039488).

68978386944000 is an abundant number, since it is smaller than the sum of its proper divisors (189885321134976).

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

68978386944000 is an equidigital number, since it uses as much as digits as its factorization.

68978386944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 68978386944000 in words is "sixty-eight trillion, nine hundred seventy-eight billion, three hundred eighty-six million, nine hundred forty-four thousand".