669529276416 has 1512 divisors, whose sum is σ = 2743737535224. Its totient is φ = 160526499840.

The previous prime is 669529276393. The next prime is 669529276433. The reversal of 669529276416 is 614672925966.

669529276416 is a `hidden beast` number, since 6 + 69 + 5 + 2 + 92 + 76 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (58786560) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 51502252026 + ... + 51502252038.

It is an arithmetic number, because the mean of its divisors is an integer number (1814641227).

Almost surely, 2^669529276416 is an apocalyptic number.

669529276416 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 669529276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371868767612).

669529276416 is an abundant number, since it is smaller than the sum of its proper divisors (2074208258808).

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

669529276416 is an frugal number, since it uses more digits than its factorization.

669529276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 669529276416 in words is "six hundred sixty-nine billion, five hundred twenty-nine million, two hundred seventy-six thousand, four hundred sixteen".