679302224640 has 432 divisors, whose sum is σ = 2533486082400. Its totient is φ = 167055851520.

The previous prime is 679302224633. The next prime is 679302224677. The reversal of 679302224640 is 46422203976.

679302224640 is a `hidden beast` number, since 67 + 9 + 302 + 2 + 246 + 40 = 666.

It is a super-2 number, since 2×679302224640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314345160 + ... + 314347320.

Almost surely, 2^679302224640 is an apocalyptic number.

679302224640 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 679302224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266743041200).

679302224640 is an abundant number, since it is smaller than the sum of its proper divisors (1854183857760).

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

679302224640 is a wasteful number, since it uses less digits than its factorization.

679302224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 679302224640 in words is "six hundred seventy-nine billion, three hundred two million, two hundred twenty-four thousand, six hundred forty".