1670959534336 has 81 divisors (see below), whose sum is σ = 3361982120581. Its totient is φ = 828871709696.

The previous prime is 1670959534319. The next prime is 1670959534357. The reversal of 1670959534336 is 6334359590761.

The square root of 1670959534336 is 1292656.

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

It can be written as a sum of positive squares in only one way, i.e., 1519993094400 + 150966439936 = 1232880^2 + 388544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3578071575 + ... + 3578072041.

Almost surely, 2^{1670959534336} is an apocalyptic number.

1670959534336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1670959534336 is the 1292656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670959534336

1670959534336 is an abundant number, since it is smaller than the sum of its proper divisors (1691022586245).

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

1670959534336 is an frugal number, since it uses more digits than its factorization.

1670959534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 61.

The spelling of 1670959534336 in words is "one trillion, six hundred seventy billion, nine hundred fifty-nine million, five hundred thirty-four thousand, three hundred thirty-six".