390635000064 has 243 divisors, whose sum is σ = 1169077794703. Its totient is φ = 125441605632.

The previous prime is 390635000059. The next prime is 390635000087. The reversal of 390635000064 is 460000536093.

The square root of 390635000064 is 625008.

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

390635000064 is a `hidden beast` number, since 3 + 90 + 6 + 3 + 500 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7226360064 + 383408640000 = 85008^2 + 619200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 390634999992 and 390635000028.

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, 870010912 + ... + 870011360.

Almost surely, 2^390635000064 is an apocalyptic number.

390635000064 is the 625008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390635000064

390635000064 is an abundant number, since it is smaller than the sum of its proper divisors (778442794639).

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

390635000064 is an frugal number, since it uses more digits than its factorization.

390635000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Multiplying 390635000064 by its sum of digits (36), we get a square (14062860002304 = 3750048²).

390635000064 divided by its sum of digits (36) gives a square (10850972224 = 104168²).

The spelling of 390635000064 in words is "three hundred ninety billion, six hundred thirty-five million, sixty-four", and thus it is an aban number.