61334539200 has 672 divisors, whose sum is σ = 245275729920. Its totient is φ = 14786150400.

The previous prime is 61334539099. The next prime is 61334539243. The reversal of 61334539200 is 293543316.

It is a happy number.

61334539200 is a `hidden beast` number, since 613 + 3 + 4 + 5 + 39 + 2 + 0 + 0 = 666.

61334539200 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 (36).

It is a congruent number.

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, 160142209 + ... + 160142591.

Almost surely, 2^61334539200 is an apocalyptic number.

61334539200 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 61334539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122637864960).

61334539200 is an abundant number, since it is smaller than the sum of its proper divisors (183941190720).

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

61334539200 is a wasteful number, since it uses less digits than its factorization.

61334539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 61334539200 in words is "sixty-one billion, three hundred thirty-four million, five hundred thirty-nine thousand, two hundred".