68748810900 has 288 divisors, whose sum is σ = 262585193472. Its totient is φ = 13445068800.

The previous prime is 68748810869. The next prime is 68748810901. The reversal of 68748810900 is 901884786.

It is a super-3 number, since 3×68748810900³ (a number of 33 digits) contains 333 as substring.

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 (68748810901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305167 + ... + 480233.

It is an arithmetic number, because the mean of its divisors is an integer number (911754144).

Almost surely, 2^68748810900 is an apocalyptic number.

68748810900 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 68748810900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131292596736).

68748810900 is an abundant number, since it is smaller than the sum of its proper divisors (193836382572).

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

68748810900 is a wasteful number, since it uses less digits than its factorization.

68748810900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175119 (or 175112 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 68748810900 in words is "sixty-eight billion, seven hundred forty-eight million, eight hundred ten thousand, nine hundred".