68477868810 has 288 divisors, whose sum is σ = 210741792768. Its totient is φ = 15350999040.

The previous prime is 68477868787. The next prime is 68477868817. The reversal of 68477868810 is 1886877486.

68477868810 is a `hidden beast` number, since 6 + 8 + 477 + 86 + 8 + 81 + 0 = 666.

It is a super-2 number, since 2×68477868810² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68477868817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8011399 + ... + 8019941.

It is an arithmetic number, because the mean of its divisors is an integer number (731742336).

Almost surely, 2^68477868810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68477868810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105370896384).

68477868810 is an abundant number, since it is smaller than the sum of its proper divisors (142263923958).

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

68477868810 is a wasteful number, since it uses less digits than its factorization.

68477868810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8630 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 68477868810 in words is "sixty-eight billion, four hundred seventy-seven million, eight hundred sixty-eight thousand, eight hundred ten".