61063279200 has 2592 divisors, whose sum is σ = 311200081920. Its totient is φ = 10948608000.

The previous prime is 61063279177. The next prime is 61063279201. The reversal of 61063279200 is 297236016.

61063279200 is a `hidden beast` number, since 6 + 10 + 632 + 7 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61063279201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1969783185 + ... + 1969783215.

It is an arithmetic number, because the mean of its divisors is an integer number (120061760).

Almost surely, 2^61063279200 is an apocalyptic number.

61063279200 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 61063279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155600040960).

61063279200 is an abundant number, since it is smaller than the sum of its proper divisors (250136802720).

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

61063279200 is a wasteful number, since it uses less digits than its factorization.

61063279200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 61063279200 in words is "sixty-one billion, sixty-three million, two hundred seventy-nine thousand, two hundred".