68182248960 has 800 divisors, whose sum is σ = 282344071680. Its totient is φ = 15403696128.

The previous prime is 68182248943. The next prime is 68182248983. The reversal of 68182248960 is 6984228186.

68182248960 is a `hidden beast` number, since 6 + 81 + 8 + 22 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68182248897 and 68182248906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155312421 + ... + 155312859.

Almost surely, 2^68182248960 is an apocalyptic number.

68182248960 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 68182248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141172035840).

68182248960 is an abundant number, since it is smaller than the sum of its proper divisors (214161822720).

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

68182248960 is a wasteful number, since it uses less digits than its factorization.

68182248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 68182248960 in words is "sixty-eight billion, one hundred eighty-two million, two hundred forty-eight thousand, nine hundred sixty".