68214992400 has 225 divisors, whose sum is σ = 244986973693. Its totient is φ = 18178128000.

The previous prime is 68214992381. The next prime is 68214992413. The reversal of 68214992400 is 429941286.

The square root of 68214992400 is 261180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24557397264 + 43657595136 = 156708^2 + 208944^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 47011675 + ... + 47013125.

Almost surely, 2^68214992400 is an apocalyptic number.

68214992400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68214992400 is the 261180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68214992400

68214992400 is an abundant number, since it is smaller than the sum of its proper divisors (176771981293).

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

68214992400 is an equidigital number, since it uses as much as digits as its factorization.

68214992400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 68214992400 in words is "sixty-eight billion, two hundred fourteen million, nine hundred ninety-two thousand, four hundred".