687970713600 has 621 divisors, whose sum is σ = 2559120726097. Its totient is φ = 183458856960.

The previous prime is 687970713593. The next prime is 687970713637. The reversal of 687970713600 is 6317079786.

The square root of 687970713600 is 829440.

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

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (4!)⁴ ⋅ (2!)².

It can be written as a sum of positive squares in only one way, i.e., 247669456896 + 440301256704 = 497664^2 + 663552^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137594142718 + ... + 137594142722.

Almost surely, 2^687970713600 is an apocalyptic number.

687970713600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

687970713600 is the 829440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687970713600

687970713600 is an abundant number, since it is smaller than the sum of its proper divisors (1871150012497).

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

687970713600 is an frugal number, since it uses more digits than its factorization.

687970713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 687970713600 in words is "six hundred eighty-seven billion, nine hundred seventy million, seven hundred thirteen thousand, six hundred".