67978949068800 has 6048 divisors, whose sum is σ = 334067730796800. Its totient is φ = 13544423424000.

The previous prime is 67978949068753. The next prime is 67978949068853. The reversal of 67978949068800 is 886094987976.

67978949068800 is a `hidden beast` number, since 67 + 9 + 7 + 8 + 9 + 490 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×67978949068800² (a number of 28 digits) contains 22 as substring.

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 67978949068800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 623660083146 + ... + 623660083254.

It is an arithmetic number, because the mean of its divisors is an integer number (55236066600).

Almost surely, 2^{67978949068800} is an apocalyptic number.

67978949068800 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 67978949068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167033865398400).

67978949068800 is an abundant number, since it is smaller than the sum of its proper divisors (266088781728000).

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

67978949068800 is a wasteful number, since it uses less digits than its factorization.

67978949068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 67978949068800 in words is "sixty-seven trillion, nine hundred seventy-eight billion, nine hundred forty-nine million, sixty-eight thousand, eight hundred".