669287610000 has 675 divisors, whose sum is σ = 2454797426653. Its totient is φ = 176709600000.

The previous prime is 669287609959. The next prime is 669287610011. The reversal of 669287610000 is 16782966.

The square root of 669287610000 is 818100.

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

669287610000 is a `hidden beast` number, since 6 + 6 + 9 + 28 + 7 + 610 + 0 + 0 + 0 = 666.

669287610000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 144439522704 + 524848087296 = 380052^2 + 724464^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6626609950 + ... + 6626610050.

Almost surely, 2^669287610000 is an apocalyptic number.

669287610000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

669287610000 is the 818100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669287610000

669287610000 is an abundant number, since it is smaller than the sum of its proper divisors (1785509816653).

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

669287610000 is an frugal number, since it uses more digits than its factorization.

669287610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 669287610000 in words is "six hundred sixty-nine billion, two hundred eighty-seven million, six hundred ten thousand".