68477829120 has 360 divisors, whose sum is σ = 239532012720. Its totient is φ = 18095800320.

The previous prime is 68477829113. The next prime is 68477829131. The reversal of 68477829120 is 2192877486.

It is a happy number.

68477829120 is a `hidden beast` number, since 6 + 8 + 477 + 82 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96583326 + ... + 96584034.

It is an arithmetic number, because the mean of its divisors is an integer number (665366702).

Almost surely, 2^68477829120 is an apocalyptic number.

68477829120 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 68477829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119766006360).

68477829120 is an abundant number, since it is smaller than the sum of its proper divisors (171054183600).

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

68477829120 is a wasteful number, since it uses less digits than its factorization.

68477829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 68477829120 in words is "sixty-eight billion, four hundred seventy-seven million, eight hundred twenty-nine thousand, one hundred twenty".