68986873440 has 288 divisors, whose sum is σ = 246526338240. Its totient is φ = 17534128128.

The previous prime is 68986873427. The next prime is 68986873453. The reversal of 68986873440 is 4437868986.

68986873440 is a `hidden beast` number, since 68 + 9 + 8 + 68 + 73 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (68986873427) and next prime (68986873453).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9700606 + ... + 9707714.

It is an arithmetic number, because the mean of its divisors is an integer number (855994230).

Almost surely, 2^68986873440 is an apocalyptic number.

68986873440 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 68986873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123263169120).

68986873440 is an abundant number, since it is smaller than the sum of its proper divisors (177539464800).

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

68986873440 is a wasteful number, since it uses less digits than its factorization.

68986873440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 68986873440 in words is "sixty-eight billion, nine hundred eighty-six million, eight hundred seventy-three thousand, four hundred forty".