1670415579360 has 960 divisors, whose sum is σ = 7064171896320. Its totient is φ = 366942597120.

The previous prime is 1670415579331. The next prime is 1670415579389. The reversal of 1670415579360 is 639755140761.

1670415579360 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 4 + 1 + 5 + 579 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1670415579331) and next prime (1670415579389).

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

It is a junction number, because it is equal to n+sod(n) for n = 1670415579297 and 1670415579306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62285314 + ... + 62312126.

It is an arithmetic number, because the mean of its divisors is an integer number (7358512392).

Almost surely, 2^{1670415579360} is an apocalyptic number.

1670415579360 is a gapful number since it is divisible by the number (10) 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 1670415579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532085948160).

1670415579360 is an abundant number, since it is smaller than the sum of its proper divisors (5393756316960).

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

1670415579360 is a wasteful number, since it uses less digits than its factorization.

1670415579360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26893 (or 26876 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 1670415579360 in words is "one trillion, six hundred seventy billion, four hundred fifteen million, five hundred seventy-nine thousand, three hundred sixty".