68010690182400 has 1080 divisors, whose sum is σ = 302516408335680. Its totient is φ = 14727111966720.

The previous prime is 68010690182399. The next prime is 68010690182429. The reversal of 68010690182400 is 428109601086.

68010690182400 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 0 + 69 + 0 + 182 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68453992 + ... + 69440408.

It is an arithmetic number, because the mean of its divisors is an integer number (280107785496).

Almost surely, 2^{68010690182400} is an apocalyptic number.

68010690182400 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 68010690182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151258204167840).

68010690182400 is an abundant number, since it is smaller than the sum of its proper divisors (234505718153280).

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

68010690182400 is a wasteful number, since it uses less digits than its factorization.

68010690182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986481 (or 986453 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

Adding to 68010690182400 its reverse (428109601086), we get a palindrome (68438799783486).

The spelling of 68010690182400 in words is "sixty-eight trillion, ten billion, six hundred ninety million, one hundred eighty-two thousand, four hundred".