61407425083200 has 504 divisors, whose sum is σ = 240076324381824. Its totient is φ = 13693639680000.

The previous prime is 61407425083127. The next prime is 61407425083267. The reversal of 61407425083200 is 238052470416.

61407425083200 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 (42).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6459225 + ... + 12827175.

It is an arithmetic number, because the mean of its divisors is an integer number (476341913456).

Almost surely, 2^{61407425083200} is an apocalyptic number.

61407425083200 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 61407425083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120038162190912).

61407425083200 is an abundant number, since it is smaller than the sum of its proper divisors (178668899298624).

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

61407425083200 is a wasteful number, since it uses less digits than its factorization.

61407425083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368031 (or 6368009 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 61407425083200 in words is "sixty-one trillion, four hundred seven billion, four hundred twenty-five million, eighty-three thousand, two hundred".