1670101320976 has 135 divisors (see below), whose sum is σ = 3721006968133. Its totient is φ = 725562386560.

The previous prime is 1670101320949. The next prime is 1670101320977. The reversal of 1670101320976 is 6790231010761.

The square root of 1670101320976 is 1292324.

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., 1097088656400 + 573012664576 = 1047420^2 + 756976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1670101320977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1307831250 + ... + 1307832526.

Almost surely, 2^{1670101320976} is an apocalyptic number.

1670101320976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1670101320976 is the 1292324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670101320976

1670101320976 is an abundant number, since it is smaller than the sum of its proper divisors (2050905647157).

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

1670101320976 is an equidigital number, since it uses as much as digits as its factorization.

1670101320976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 1670101320976 in words is "one trillion, six hundred seventy billion, one hundred one million, three hundred twenty thousand, nine hundred seventy-six".