68837333760 has 1152 divisors, whose sum is σ = 279507352320. Its totient is φ = 15925248000.

The previous prime is 68837333731. The next prime is 68837333783. The reversal of 68837333760 is 6733373886.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×68837333760³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68837333697 and 68837333706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 681557710 + ... + 681557810.

It is an arithmetic number, because the mean of its divisors is an integer number (242627910).

Almost surely, 2^68837333760 is an apocalyptic number.

68837333760 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 68837333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139753676160).

68837333760 is an abundant number, since it is smaller than the sum of its proper divisors (210670018560).

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

68837333760 is a wasteful number, since it uses less digits than its factorization.

68837333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 68837333760 in words is "sixty-eight billion, eight hundred thirty-seven million, three hundred thirty-three thousand, seven hundred sixty".