61975563471936 has 189 divisors, whose sum is σ = 183994834404693. Its totient is φ = 19944394928640.

The previous prime is 61975563471929. The next prime is 61975563471961. The reversal of 61975563471936 is 63917436557916.

The square root of 61975563471936 is 7872456.

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

61975563471936 is a `hidden beast` number, since 6 + 1 + 9 + 7 + 5 + 5 + 63 + 471 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32498482153536 + 29477081318400 = 5700744^2 + 5429280^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5479223721 + ... + 5479235031.

Almost surely, 2^{61975563471936} is an apocalyptic number.

61975563471936 is the 7872456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61975563471936

61975563471936 is an abundant number, since it is smaller than the sum of its proper divisors (122019270932757).

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

61975563471936 is an frugal number, since it uses more digits than its factorization.

61975563471936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22698 (or 11345 counting only the distinct ones).

The product of its digits is 771573600, while the sum is 72.

The spelling of 61975563471936 in words is "sixty-one trillion, nine hundred seventy-five billion, five hundred sixty-three million, four hundred seventy-one thousand, nine hundred thirty-six".