61989048576 has 1215 divisors, whose sum is σ = 245729440341. Its totient is φ = 15488299008.

The previous prime is 61989048547. The next prime is 61989048601. The reversal of 61989048576 is 67584098916.

The square root of 61989048576 is 248976.

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

61989048576 is a `hidden beast` number, since 6 + 1 + 9 + 89 + 0 + 485 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9169977600 + 52819070976 = 95760^2 + 229824^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3262581495 + ... + 3262581513.

Almost surely, 2^61989048576 is an apocalyptic number.

61989048576 is the 248976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61989048576

61989048576 is an abundant number, since it is smaller than the sum of its proper divisors (183740391765).

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

61989048576 is a wasteful number, since it uses less digits than its factorization.

61989048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 61989048576 in words is "sixty-one billion, nine hundred eighty-nine million, forty-eight thousand, five hundred seventy-six".