1679234768640 has 1440 divisors, whose sum is σ = 7195620712896. Its totient is φ = 368510238720.

The previous prime is 1679234768623. The next prime is 1679234768663. The reversal of 1679234768640 is 468674329761.

It is a happy number.

1679234768640 is a `hidden beast` number, since 1 + 67 + 9 + 23 + 476 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 785789652 + ... + 785791788.

Almost surely, 2^{1679234768640} is an apocalyptic number.

1679234768640 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 1679234768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597810356448).

1679234768640 is an abundant number, since it is smaller than the sum of its proper divisors (5516385944256).

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

1679234768640 is a wasteful number, since it uses less digits than its factorization.

1679234768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 1679234768640 in words is "one trillion, six hundred seventy-nine billion, two hundred thirty-four million, seven hundred sixty-eight thousand, six hundred forty".