68984832000 has 544 divisors, whose sum is σ = 263031185664. Its totient is φ = 15728640000.

The previous prime is 68984831939. The next prime is 68984832011. The reversal of 68984832000 is 23848986.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172031800 + ... + 172032200.

Almost surely, 2^68984832000 is an apocalyptic number.

68984832000 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 68984832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131515592832).

68984832000 is an abundant number, since it is smaller than the sum of its proper divisors (194046353664).

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

68984832000 is an frugal number, since it uses more digits than its factorization.

68984832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 68984832000 in words is "sixty-eight billion, nine hundred eighty-four million, eight hundred thirty-two thousand".