68615632068480 has 2048 divisors, whose sum is σ = 292741005312000. Its totient is φ = 14859450777600.

The previous prime is 68615632068457. The next prime is 68615632068481. The reversal of 68615632068480 is 8486023651686.

It is a happy number.

68615632068480 is a `hidden beast` number, since 6 + 8 + 6 + 1 + 563 + 2 + 0 + 68 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68615632068481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73229062572 + ... + 73229063508.

It is an arithmetic number, because the mean of its divisors is an integer number (142939944000).

Almost surely, 2^{68615632068480} is an apocalyptic number.

68615632068480 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 68615632068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146370502656000).

68615632068480 is an abundant number, since it is smaller than the sum of its proper divisors (224125373243520).

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

68615632068480 is a wasteful number, since it uses less digits than its factorization.

68615632068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 68615632068480 in words is "sixty-eight trillion, six hundred fifteen billion, six hundred thirty-two million, sixty-eight thousand, four hundred eighty".