68951514240 has 288 divisors, whose sum is σ = 276972506460. Its totient is φ = 15760281600.

The previous prime is 68951514223. The next prime is 68951514253. The reversal of 68951514240 is 4241515986.

68951514240 is a `hidden beast` number, since 6 + 8 + 95 + 1 + 514 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55240041024 + 13711473216 = 235032^2 + 117096^2 .

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

It is a super-2 number, since 2×68951514240² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160090 + ... + 404390.

Almost surely, 2^68951514240 is an apocalyptic number.

68951514240 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 68951514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138486253230).

68951514240 is an abundant number, since it is smaller than the sum of its proper divisors (208020992220).

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

68951514240 is a wasteful number, since it uses less digits than its factorization.

68951514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244340 (or 244318 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 68951514240 in words is "sixty-eight billion, nine hundred fifty-one million, five hundred fourteen thousand, two hundred forty".