61663442400 has 1440 divisors, whose sum is σ = 275705791200. Its totient is φ = 13276569600.

The previous prime is 61663442353. The next prime is 61663442411. The reversal of 61663442400 is 424436616.

61663442400 is a `hidden beast` number, since 6 + 16 + 634 + 4 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1503986380 + ... + 1503986420.

It is an arithmetic number, because the mean of its divisors is an integer number (191462355).

Almost surely, 2^61663442400 is an apocalyptic number.

61663442400 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 61663442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137852895600).

61663442400 is an abundant number, since it is smaller than the sum of its proper divisors (214042348800).

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

61663442400 is a wasteful number, since it uses less digits than its factorization.

61663442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 61663442400 in words is "sixty-one billion, six hundred sixty-three million, four hundred forty-two thousand, four hundred".