673646977600 has 315 divisors, whose sum is σ = 1786345769821. Its totient is φ = 250036326400.

The previous prime is 673646977573. The next prime is 673646977607. The reversal of 673646977600 is 6779646376.

It is a happy number.

The square root of 673646977600 is 820760.

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

It can be written as a sum of positive squares in 7 ways, for example, as 73406316096 + 600240661504 = 270936^2 + 774752^2 .

It is a super-2 number, since 2×673646977600² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (673646977607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9487985565 + ... + 9487985635.

Almost surely, 2^673646977600 is an apocalyptic number.

673646977600 is the 820760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673646977600

673646977600 is an abundant number, since it is smaller than the sum of its proper divisors (1112698792221).

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

673646977600 is an frugal number, since it uses more digits than its factorization.

673646977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 61.

The spelling of 673646977600 in words is "six hundred seventy-three billion, six hundred forty-six million, nine hundred seventy-seven thousand, six hundred".