60642201600 has 468 divisors, whose sum is σ = 224796261300. Its totient is φ = 15606743040.

The previous prime is 60642201547. The next prime is 60642201601. The reversal of 60642201600 is 610224606.

It is a happy number.

60642201600 is a `hidden beast` number, since 6 + 0 + 642 + 2 + 0 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10006401024 + 50635800576 = 100032^2 + 225024^2 .

It is a super-2 number, since 2×60642201600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60642201601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26725266 + ... + 26727534.

Almost surely, 2^60642201600 is an apocalyptic number.

60642201600 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 60642201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112398130650).

60642201600 is an abundant number, since it is smaller than the sum of its proper divisors (164154059700).

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

60642201600 is a wasteful number, since it uses less digits than its factorization.

60642201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 60642201600 in words is "sixty billion, six hundred forty-two million, two hundred one thousand, six hundred".