674744400000 has 864 divisors, whose sum is σ = 2669310598500. Its totient is φ = 163468800000.

The previous prime is 674744399999. The next prime is 674744400013. The reversal of 674744400000 is 4447476.

It can be written as a sum of positive squares in 6 ways, for example, as 120886945344 + 553857454656 = 347688^2 + 744216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 435599226 + ... + 435600774.

Almost surely, 2^674744400000 is an apocalyptic number.

674744400000 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 674744400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334655299250).

674744400000 is an abundant number, since it is smaller than the sum of its proper divisors (1994566198500).

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

674744400000 is a wasteful number, since it uses less digits than its factorization.

674744400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 674744400000 its reverse (4447476), we get a palindrome (674748847476).

The spelling of 674744400000 in words is "six hundred seventy-four billion, seven hundred forty-four million, four hundred thousand".