68837766900 has 576 divisors, whose sum is σ = 244331028480. Its totient is φ = 14631321600.

The previous prime is 68837766869. The next prime is 68837766911. The reversal of 68837766900 is 966773886.

It is a super-2 number, since 2×68837766900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 254013765 + ... + 254014035.

Almost surely, 2^68837766900 is an apocalyptic number.

68837766900 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 68837766900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122165514240).

68837766900 is an abundant number, since it is smaller than the sum of its proper divisors (175493261580).

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

68837766900 is a wasteful number, since it uses less digits than its factorization.

68837766900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 68837766900 in words is "sixty-eight billion, eight hundred thirty-seven million, seven hundred sixty-six thousand, nine hundred".