1672764569316 has 189 divisors, whose sum is σ = 4501524387801. Its totient is φ = 543643246944.

The previous prime is 1672764569309. The next prime is 1672764569353. The reversal of 1672764569316 is 6139654672761.

It is a happy number.

The square root of 1672764569316 is 1293354.

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

1672764569316 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 7 + 64 + 569 + 3 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146788596900 + 1525975972416 = 383130^2 + 1235304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3003167710 + ... + 3003168266.

Almost surely, 2^{1672764569316} is an apocalyptic number.

1672764569316 is the 1293354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672764569316

1672764569316 is an abundant number, since it is smaller than the sum of its proper divisors (2828759818485).

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

1672764569316 is an frugal number, since it uses more digits than its factorization.

1672764569316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 605 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 1672764569316 in words is "one trillion, six hundred seventy-two billion, seven hundred sixty-four million, five hundred sixty-nine thousand, three hundred sixteen".