1679557270140 has 480 divisors, whose sum is σ = 5649128432640. Its totient is φ = 416460787200.

The previous prime is 1679557270123. The next prime is 1679557270141. The reversal of 1679557270140 is 410727559761.

1679557270140 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 557 + 2 + 70 + 14 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679557270141) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1522716829 + ... + 1522717931.

It is an arithmetic number, because the mean of its divisors is an integer number (11769017568).

Almost surely, 2^{1679557270140} is an apocalyptic number.

1679557270140 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 1679557270140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824564216320).

1679557270140 is an abundant number, since it is smaller than the sum of its proper divisors (3969571162500).

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

1679557270140 is a wasteful number, since it uses less digits than its factorization.

1679557270140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 1679557270140 in words is "one trillion, six hundred seventy-nine billion, five hundred fifty-seven million, two hundred seventy thousand, one hundred forty".