679761880842240 has 6144 divisors, whose sum is σ = 3192814869120000. Its totient is φ = 136640156663808.

The previous prime is 679761880842211. The next prime is 679761880842307. The reversal of 679761880842240 is 42248088167976.

679761880842240 is a `hidden beast` number, since 6 + 7 + 9 + 76 + 18 + 80 + 8 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9311806586844 + ... + 9311806586916.

Almost surely, 2^{679761880842240} is an apocalyptic number.

679761880842240 is a gapful number since it is divisible by the number (60) 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 679761880842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596407434560000).

679761880842240 is an abundant number, since it is smaller than the sum of its proper divisors (2513052988277760).

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

679761880842240 is an equidigital number, since it uses as much as digits as its factorization.

679761880842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 679761880842240 in words is "six hundred seventy-nine trillion, seven hundred sixty-one billion, eight hundred eighty million, eight hundred forty-two thousand, two hundred forty".