679764234240 has 2496 divisors, whose sum is σ = 3205734604800. Its totient is φ = 134154289152.

The previous prime is 679764234217. The next prime is 679764234269. The reversal of 679764234240 is 42432467976.

679764234240 is a `hidden beast` number, since 6 + 79 + 76 + 423 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8604610521 + ... + 8604610599.

It is an arithmetic number, because the mean of its divisors is an integer number (1284348800).

Almost surely, 2^679764234240 is an apocalyptic number.

679764234240 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 679764234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602867302400).

679764234240 is an abundant number, since it is smaller than the sum of its proper divisors (2525970370560).

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

679764234240 is a wasteful number, since it uses less digits than its factorization.

679764234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 679764234240 in words is "six hundred seventy-nine billion, seven hundred sixty-four million, two hundred thirty-four thousand, two hundred forty".