61345369800 has 576 divisors, whose sum is σ = 246066125760. Its totient is φ = 13499136000.

The previous prime is 61345369783. The next prime is 61345369867. The reversal of 61345369800 is 896354316.

61345369800 is a `hidden beast` number, since 6 + 1 + 34 + 536 + 9 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15699447 + ... + 15703353.

It is an arithmetic number, because the mean of its divisors is an integer number (427198135).

Almost surely, 2^61345369800 is an apocalyptic number.

61345369800 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 61345369800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123033062880).

61345369800 is an abundant number, since it is smaller than the sum of its proper divisors (184720755960).

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

61345369800 is a wasteful number, since it uses less digits than its factorization.

61345369800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 61345369800 in words is "sixty-one billion, three hundred forty-five million, three hundred sixty-nine thousand, eight hundred".