60824982968064 has 1728 divisors, whose sum is σ = 227619612380160. Its totient is φ = 15204152770560.

The previous prime is 60824982968063. The next prime is 60824982968077. The reversal of 60824982968064 is 46086928942806.

60824982968064 is a `hidden beast` number, since 608 + 2 + 4 + 9 + 8 + 2 + 9 + 6 + 8 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 60824982967983 and 60824982968001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60824982968063) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116746608124 + ... + 116746608644.

It is an arithmetic number, because the mean of its divisors is an integer number (131724312720).

Almost surely, 2^{60824982968064} is an apocalyptic number.

60824982968064 is a gapful number since it is divisible by the number (64) 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 60824982968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113809806190080).

60824982968064 is an abundant number, since it is smaller than the sum of its proper divisors (166794629412096).

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

60824982968064 is a wasteful number, since it uses less digits than its factorization.

60824982968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 60824982968064 in words is "sixty trillion, eight hundred twenty-four billion, nine hundred eighty-two million, nine hundred sixty-eight thousand, sixty-four".