1674772000 has 192 divisors, whose sum is σ = 4755179520. Its totient is φ = 572928000.

The previous prime is 1674771997. The next prime is 1674772003. The reversal of 1674772000 is 2774761.

It is an interprime number because it is at equal distance from previous prime (1674771997) and next prime (1674772003).

It is a super-2 number, since 2×1674772000² = 5609722503968000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1674772003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746881 + ... + 749119.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^1674772000 is an apocalyptic number.

1674772000 is a gapful number since it is divisible by the number (10) 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 1674772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377589760).

1674772000 is an abundant number, since it is smaller than the sum of its proper divisors (3080407520).

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

1674772000 is a wasteful number, since it uses less digits than its factorization.

1674772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 1674772000 is about 40923.9783012356. The cubic root of 1674772000 is about 1187.5499812758.

The spelling of 1674772000 in words is "one billion, six hundred seventy-four million, seven hundred seventy-two thousand".