166378782024 has 384 divisors, whose sum is σ = 594659923200. Its totient is φ = 41969664000.

The previous prime is 166378782023. The next prime is 166378782067. The reversal of 166378782024 is 420287873661.

166378782024 is a `hidden beast` number, since 1 + 66 + 378 + 7 + 8 + 202 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (166378782023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10390024 + ... + 10406024.

It is an arithmetic number, because the mean of its divisors is an integer number (1548593550).

Almost surely, 2^166378782024 is an apocalyptic number.

166378782024 is a gapful number since it is divisible by the number (14) 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 166378782024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297329961600).

166378782024 is an abundant number, since it is smaller than the sum of its proper divisors (428281141176).

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

166378782024 is a wasteful number, since it uses less digits than its factorization.

166378782024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16082 (or 16049 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 166378782024 in words is "one hundred sixty-six billion, three hundred seventy-eight million, seven hundred eighty-two thousand, twenty-four".