61034800320 has 448 divisors, whose sum is σ = 234709655040. Its totient is φ = 14840672256.

The previous prime is 61034800249. The next prime is 61034800327. The reversal of 61034800320 is 2300843016.

It is a happy number.

61034800320 is a `hidden beast` number, since 610 + 3 + 48 + 0 + 0 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61034800327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9319287 + ... + 9325833.

It is an arithmetic number, because the mean of its divisors is an integer number (523905480).

Almost surely, 2^61034800320 is an apocalyptic number.

61034800320 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 61034800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117354827520).

61034800320 is an abundant number, since it is smaller than the sum of its proper divisors (173674854720).

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

61034800320 is a wasteful number, since it uses less digits than its factorization.

61034800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 61034800320 in words is "sixty-one billion, thirty-four million, eight hundred thousand, three hundred twenty".