68362428240 has 120 divisors (see below), whose sum is σ = 229796516040. Its totient is φ = 18213092352.

The previous prime is 68362428229. The next prime is 68362428301. The reversal of 68362428240 is 4282426386.

68362428240 is a `hidden beast` number, since 6 + 8 + 362 + 4 + 282 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19958908176 + 48403520064 = 141276^2 + 220008^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 743526 + ... + 830394.

It is an arithmetic number, because the mean of its divisors is an integer number (1914970967).

Almost surely, 2^68362428240 is an apocalyptic number.

68362428240 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 68362428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114898258020).

68362428240 is an abundant number, since it is smaller than the sum of its proper divisors (161434087800).

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

68362428240 is a wasteful number, since it uses less digits than its factorization.

68362428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87981 (or 87972 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 68362428240 in words is "sixty-eight billion, three hundred sixty-two million, four hundred twenty-eight thousand, two hundred forty".