674601467904 has 1536 divisors, whose sum is σ = 2671730880000. Its totient is φ = 168552824832.

The previous prime is 674601467831. The next prime is 674601467951. The reversal of 674601467904 is 409764106476.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35505340407 + ... + 35505340425.

It is an arithmetic number, because the mean of its divisors is an integer number (1739408125).

Almost surely, 2^674601467904 is an apocalyptic number.

674601467904 is a gapful number since it is divisible by the number (64) 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 674601467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335865440000).

674601467904 is an abundant number, since it is smaller than the sum of its proper divisors (1997129412096).

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

674601467904 is an frugal number, since it uses more digits than its factorization.

674601467904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 674601467904 in words is "six hundred seventy-four billion, six hundred one million, four hundred sixty-seven thousand, nine hundred four".