1674207387648 has 672 divisors, whose sum is σ = 5226668227872. Its totient is φ = 535088332800.

The previous prime is 1674207387647. The next prime is 1674207387649. The reversal of 1674207387648 is 8467837024761.

1674207387648 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 207 + 387 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1674207387647) and next prime (1674207387649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1674207387647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5958033268 + ... + 5958033548.

It is an arithmetic number, because the mean of its divisors is an integer number (7777780101).

Almost surely, 2^{1674207387648} is an apocalyptic number.

1674207387648 is a gapful number since it is divisible by the number (18) 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 1674207387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613334113936).

1674207387648 is an abundant number, since it is smaller than the sum of its proper divisors (3552460840224).

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

1674207387648 is an frugal number, since it uses more digits than its factorization.

1674207387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 1674207387648 in words is "one trillion, six hundred seventy-four billion, two hundred seven million, three hundred eighty-seven thousand, six hundred forty-eight".