68811294182400 has 5280 divisors, whose sum is σ = 341043170840064. Its totient is φ = 13271040000000.

The previous prime is 68811294182381. The next prime is 68811294182431. The reversal of 68811294182400 is 428149211886.

68811294182400 is a `hidden beast` number, since 6 + 8 + 8 + 112 + 9 + 41 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 274148582275 + ... + 274148582525.

Almost surely, 2^{68811294182400} is an apocalyptic number.

68811294182400 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 68811294182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170521585420032).

68811294182400 is an abundant number, since it is smaller than the sum of its proper divisors (272231876657664).

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

68811294182400 is a wasteful number, since it uses less digits than its factorization.

68811294182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 68811294182400 in words is "sixty-eight trillion, eight hundred eleven billion, two hundred ninety-four million, one hundred eighty-two thousand, four hundred".