61451472768 has 256 divisors, whose sum is σ = 191150807040. Its totient is φ = 17127014400.

The previous prime is 61451472767. The next prime is 61451472799. The reversal of 61451472768 is 86727415416.

It is a self number, because there is not a number n which added to its sum of digits gives 61451472768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61451472767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50660130 + ... + 50661342.

It is an arithmetic number, because the mean of its divisors is an integer number (746682840).

Almost surely, 2^61451472768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61451472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95575403520).

61451472768 is an abundant number, since it is smaller than the sum of its proper divisors (129699334272).

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

61451472768 is a wasteful number, since it uses less digits than its factorization.

61451472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1673 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 61451472768 in words is "sixty-one billion, four hundred fifty-one million, four hundred seventy-two thousand, seven hundred sixty-eight".