63985920774400 has 81 divisors (see below), whose sum is σ = 158376735658351. Its totient is φ = 25594112337920.

The previous prime is 63985920774397. The next prime is 63985920774401. The reversal of 63985920774400 is 447702958936.

The square root of 63985920774400 is 7999120.

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 37326625640704 + 26659295133696 = 6109552^2 + 5163264^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63985920774401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 639879606 + ... + 639979594.

Almost surely, 2^{63985920774400} is an apocalyptic number.

63985920774400 is the 7999120-th square number.

It is an amenable number.

63985920774400 is an abundant number, since it is smaller than the sum of its proper divisors (94390814883951).

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

63985920774400 is an frugal number, since it uses more digits than its factorization.

63985920774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200004 (or 99996 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 64.

63985920774400 divided by its sum of digits (64) gives a square (999780012100 = 999890²).

The spelling of 63985920774400 in words is "sixty-three trillion, nine hundred eighty-five billion, nine hundred twenty million, seven hundred seventy-four thousand, four hundred".