68198342400 has 648 divisors, whose sum is σ = 260127975744. Its totient is φ = 16986931200.

The previous prime is 68198342357. The next prime is 68198342411. The reversal of 68198342400 is 424389186.

It is a happy number.

It is a super-2 number, since 2×68198342400² (a number of 22 digits) contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251654265 + ... + 251654535.

Almost surely, 2^68198342400 is an apocalyptic number.

68198342400 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 68198342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130063987872).

68198342400 is an abundant number, since it is smaller than the sum of its proper divisors (191929633344).

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

68198342400 is a wasteful number, since it uses less digits than its factorization.

68198342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 68198342400 in words is "sixty-eight billion, one hundred ninety-eight million, three hundred forty-two thousand, four hundred".