679008960400 has 45 divisors (see below), whose sum is σ = 1631358622483. Its totient is φ = 271596992000.

The previous prime is 679008960361. The next prime is 679008960431. The reversal of 679008960400 is 4069800976.

The square root of 679008960400 is 824020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40518469264 + 638490491136 = 201292^2 + 799056^2 .

It is a super-2 number, since 2×679008960400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16459800 + ... + 16501000.

Almost surely, 2^679008960400 is an apocalyptic number.

679008960400 is the 824020-th square number.

It is an amenable number.

679008960400 is an abundant number, since it is smaller than the sum of its proper divisors (952349662083).

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

679008960400 is an frugal number, since it uses more digits than its factorization.

679008960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82420 (or 41208 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 679008960400 by its sum of digits (49), we get a square (33271439059600 = 5768140²).

The spelling of 679008960400 in words is "six hundred seventy-nine billion, eight million, nine hundred sixty thousand, four hundred".