60164778240 has 1008 divisors, whose sum is σ = 252648996096. Its totient is φ = 13436928000.

The previous prime is 60164778239. The next prime is 60164778277. The reversal of 60164778240 is 4287746106.

60164778240 is a `hidden beast` number, since 60 + 1 + 6 + 477 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 398442165 + ... + 398442315.

Almost surely, 2^60164778240 is an apocalyptic number.

60164778240 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 60164778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126324498048).

60164778240 is an abundant number, since it is smaller than the sum of its proper divisors (192484217856).

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

60164778240 is an equidigital number, since it uses as much as digits as its factorization.

60164778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 60164778240 in words is "sixty billion, one hundred sixty-four million, seven hundred seventy-eight thousand, two hundred forty".