62066413200 has 480 divisors, whose sum is σ = 223982807040. Its totient is φ = 14562662400.

The previous prime is 62066413133. The next prime is 62066413217. The reversal of 62066413200 is 231466026.

62066413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55267839 + ... + 55268961.

It is an arithmetic number, because the mean of its divisors is an integer number (466630848).

Almost surely, 2^62066413200 is an apocalyptic number.

62066413200 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 62066413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111991403520).

62066413200 is an abundant number, since it is smaller than the sum of its proper divisors (161916393840).

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

62066413200 is a wasteful number, since it uses less digits than its factorization.

62066413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 62066413200 its reverse (231466026), we get a palindrome (62297879226).

The spelling of 62066413200 in words is "sixty-two billion, sixty-six million, four hundred thirteen thousand, two hundred".