64387785640000 has 315 divisors, whose sum is σ = 162945340024467. Its totient is φ = 25235788032000.

The previous prime is 64387785639997. The next prime is 64387785640111. The reversal of 64387785640000 is 4658778346.

The square root of 64387785640000 is 8024200.

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

It can be written as a sum of positive squares in 22 ways, for example, as 64125117089856 + 262668550144 = 8007816^2 + 512512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85056519622 + ... + 85056520378.

Almost surely, 2^{64387785640000} is an apocalyptic number.

64387785640000 is the 8024200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64387785640000

64387785640000 is an abundant number, since it is smaller than the sum of its proper divisors (98557554384467).

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

64387785640000 is an frugal number, since it uses more digits than its factorization.

64387785640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 64387785640000 in words is "sixty-four trillion, three hundred eighty-seven billion, seven hundred eighty-five million, six hundred forty thousand".