674505661200 has 480 divisors, whose sum is σ = 2618825313024. Its totient is φ = 144868638720.

The previous prime is 674505661171. The next prime is 674505661211. The reversal of 674505661200 is 2166505476.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 96672112 + ... + 96679088.

Almost surely, 2^674505661200 is an apocalyptic number.

674505661200 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 674505661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309412656512).

674505661200 is an abundant number, since it is smaller than the sum of its proper divisors (1944319651824).

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

674505661200 is a wasteful number, since it uses less digits than its factorization.

674505661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 674505661200 in words is "six hundred seventy-four billion, five hundred five million, six hundred sixty-one thousand, two hundred".