674779248000 has 1920 divisors, whose sum is σ = 2975554501920. Its totient is φ = 150543360000.

The previous prime is 674779247977. The next prime is 674779248047. The reversal of 674779248000 is 842977476.

674779248000 is a `hidden beast` number, since 6 + 7 + 4 + 77 + 92 + 480 + 0 + 0 = 666.

674779248000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2038607835 + ... + 2038608165.

Almost surely, 2^674779248000 is an apocalyptic number.

674779248000 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 674779248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487777250960).

674779248000 is an abundant number, since it is smaller than the sum of its proper divisors (2300775253920).

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

674779248000 is a wasteful number, since it uses less digits than its factorization.

674779248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 674779248000 in words is "six hundred seventy-four billion, seven hundred seventy-nine million, two hundred forty-eight thousand".