61342034206500 has 576 divisors, whose sum is σ = 203785501570560. Its totient is φ = 15503117414400.

The previous prime is 61342034206499. The next prime is 61342034206547. The reversal of 61342034206500 is 560243024316.

61342034206500 is a `hidden beast` number, since 61 + 3 + 42 + 0 + 34 + 20 + 6 + 500 = 666.

61342034206500 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8068131699 + ... + 8068139301.

It is an arithmetic number, because the mean of its divisors is an integer number (353794273560).

Almost surely, 2^{61342034206500} is an apocalyptic number.

61342034206500 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 61342034206500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101892750785280).

61342034206500 is an abundant number, since it is smaller than the sum of its proper divisors (142443467364060).

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

61342034206500 is a wasteful number, since it uses less digits than its factorization.

61342034206500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 61342034206500 in words is "sixty-one trillion, three hundred forty-two billion, thirty-four million, two hundred six thousand, five hundred".