61006233600 has 1080 divisors, whose sum is σ = 251425123040. Its totient is φ = 14014218240.

The previous prime is 61006233503. The next prime is 61006233671. The reversal of 61006233600 is 633260016.

61006233600 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 623 + 36 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 910540767 + ... + 910540833.

Almost surely, 2^61006233600 is an apocalyptic number.

61006233600 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 61006233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125712561520).

61006233600 is an abundant number, since it is smaller than the sum of its proper divisors (190418889440).

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

61006233600 is a wasteful number, since it uses less digits than its factorization.

61006233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 61006233600 its reverse (633260016), we get a palindrome (61639493616).

The spelling of 61006233600 in words is "sixty-one billion, six million, two hundred thirty-three thousand, six hundred".