68101683936 has 288 divisors, whose sum is σ = 223605785088. Its totient is φ = 17928069120.

The previous prime is 68101683931. The next prime is 68101683959. The reversal of 68101683936 is 63938610186.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68101683931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3022665 + ... + 3045111.

It is an arithmetic number, because the mean of its divisors is an integer number (776408976).

Almost surely, 2^68101683936 is an apocalyptic number.

68101683936 is a gapful number since it is divisible by the number (66) 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 68101683936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111802892544).

68101683936 is an abundant number, since it is smaller than the sum of its proper divisors (155504101152).

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

68101683936 is a wasteful number, since it uses less digits than its factorization.

68101683936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22514 (or 22493 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 68101683936 in words is "sixty-eight billion, one hundred one million, six hundred eighty-three thousand, nine hundred thirty-six".