669166033536 has 1920 divisors, whose sum is σ = 2784485531520. Its totient is φ = 156764160000.

The previous prime is 669166033517. The next prime is 669166033619. The reversal of 669166033536 is 635330661966.

669166033536 is a `hidden beast` number, since 6 + 6 + 9 + 16 + 60 + 33 + 536 = 666.

669166033536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4431563061 + ... + 4431563211.

It is an arithmetic number, because the mean of its divisors is an integer number (1450252881).

Almost surely, 2^669166033536 is an apocalyptic number.

669166033536 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669166033536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392242765760).

669166033536 is an abundant number, since it is smaller than the sum of its proper divisors (2115319497984).

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

669166033536 is a wasteful number, since it uses less digits than its factorization.

669166033536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 669166033536 in words is "six hundred sixty-nine billion, one hundred sixty-six million, thirty-three thousand, five hundred thirty-six".