68638740480 has 312 divisors, whose sum is σ = 246141843480. Its totient is φ = 17671127040.

The previous prime is 68638740479. The next prime is 68638740503. The reversal of 68638740480 is 8404783686.

68638740480 is a `hidden beast` number, since 6 + 86 + 3 + 87 + 4 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6721376256 + 61917364224 = 81984^2 + 248832^2 .

It is a super-2 number, since 2×68638740480² (a number of 22 digits) contains 22 as substring.

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, 5338860 + ... + 5351700.

It is an arithmetic number, because the mean of its divisors is an integer number (788916165).

Almost surely, 2^68638740480 is an apocalyptic number.

68638740480 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 68638740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123070921740).

68638740480 is an abundant number, since it is smaller than the sum of its proper divisors (177503103000).

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

68638740480 is a wasteful number, since it uses less digits than its factorization.

68638740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12905 (or 12880 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 68638740480 in words is "sixty-eight billion, six hundred thirty-eight million, seven hundred forty thousand, four hundred eighty".