60984733824 has 384 divisors, whose sum is σ = 210165696000. Its totient is φ = 16605388800.

The previous prime is 60984733819. The next prime is 60984733829. The reversal of 60984733824 is 42833748906.

60984733824 is a `hidden beast` number, since 6 + 0 + 98 + 473 + 3 + 82 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (60984733819) and next prime (60984733829).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (60984733829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18472974 + ... + 18476274.

It is an arithmetic number, because the mean of its divisors is an integer number (547306500).

Almost surely, 2^60984733824 is an apocalyptic number.

60984733824 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 60984733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105082848000).

60984733824 is an abundant number, since it is smaller than the sum of its proper divisors (149180962176).

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

60984733824 is a wasteful number, since it uses less digits than its factorization.

60984733824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 60984733824 in words is "sixty billion, nine hundred eighty-four million, seven hundred thirty-three thousand, eight hundred twenty-four".