679533416640 has 1120 divisors, whose sum is σ = 2772388745280. Its totient is φ = 156513337344.

The previous prime is 679533416633. The next prime is 679533416669. The reversal of 679533416640 is 46614335976.

679533416640 is a `hidden beast` number, since 6 + 7 + 9 + 533 + 4 + 1 + 66 + 40 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1792963971 + ... + 1792964349.

It is an arithmetic number, because the mean of its divisors is an integer number (2475347094).

Almost surely, 2^679533416640 is an apocalyptic number.

679533416640 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 679533416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386194372640).

679533416640 is an abundant number, since it is smaller than the sum of its proper divisors (2092855328640).

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

679533416640 is a wasteful number, since it uses less digits than its factorization.

679533416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 679533416640 in words is "six hundred seventy-nine billion, five hundred thirty-three million, four hundred sixteen thousand, six hundred forty".