679531507200 has 3840 divisors, whose sum is σ = 3437060014080. Its totient is φ = 127401984000.

The previous prime is 679531507177. The next prime is 679531507223. The reversal of 679531507200 is 2705135976.

679531507200 is a `hidden beast` number, since 6 + 7 + 95 + 31 + 507 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (679531507177) and next prime (679531507223).

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16573939180 + ... + 16573939220.

It is an arithmetic number, because the mean of its divisors is an integer number (895067712).

Almost surely, 2^679531507200 is an apocalyptic number.

679531507200 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 679531507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718530007040).

679531507200 is an abundant number, since it is smaller than the sum of its proper divisors (2757528506880).

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

679531507200 is a wasteful number, since it uses less digits than its factorization.

679531507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 679531507200 in words is "six hundred seventy-nine billion, five hundred thirty-one million, five hundred seven thousand, two hundred".