679552364000 has 192 divisors, whose sum is σ = 1732243968000. Its totient is φ = 261721152000.

The previous prime is 679552363979. The next prime is 679552364021. The reversal of 679552364000 is 463255976.

679552364000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (679552363979) and next prime (679552364021).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24662231 + ... + 24689769.

It is an arithmetic number, because the mean of its divisors is an integer number (9022104000).

Almost surely, 2^679552364000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679552364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866121984000).

679552364000 is an abundant number, since it is smaller than the sum of its proper divisors (1052691604000).

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

679552364000 is a wasteful number, since it uses less digits than its factorization.

679552364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27794 (or 27776 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 47.

The spelling of 679552364000 in words is "six hundred seventy-nine billion, five hundred fifty-two million, three hundred sixty-four thousand".