1607020289680 has 80 divisors (see below), whose sum is σ = 4024442419200. Its totient is φ = 593256513024.

The previous prime is 1607020289639. The next prime is 1607020289689. The reversal of 1607020289680 is 869820207061.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1607020289680² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1607020289689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5880721 + ... + 6147919.

It is an arithmetic number, because the mean of its divisors is an integer number (50305530240).

Almost surely, 2^{1607020289680} is an apocalyptic number.

1607020289680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1607020289680 is an abundant number, since it is smaller than the sum of its proper divisors (2417422129520).

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

1607020289680 is a wasteful number, since it uses less digits than its factorization.

1607020289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273008 (or 273002 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 1607020289680 in words is "one trillion, six hundred seven billion, twenty million, two hundred eighty-nine thousand, six hundred eighty".