61424665600 has 99 divisors (see below), whose sum is σ = 152357147607. Its totient is φ = 24554004480.

The previous prime is 61424665597. The next prime is 61424665607. The reversal of 61424665600 is 656642416.

The square root of 61424665600 is 247840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5592646656 + 55832018944 = 74784^2 + 236288^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61424665607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39653626 + ... + 39655174.

Almost surely, 2^61424665600 is an apocalyptic number.

61424665600 is the 247840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61424665600

61424665600 is an abundant number, since it is smaller than the sum of its proper divisors (90932482007).

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

61424665600 is an frugal number, since it uses more digits than its factorization.

61424665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 61424665600 in words is "sixty-one billion, four hundred twenty-four million, six hundred sixty-five thousand, six hundred".