1676881440 has 480 divisors, whose sum is σ = 6569806320. Its totient is φ = 400121856.

The previous prime is 1676881433. The next prime is 1676881489. The reversal of 1676881440 is 441886761.

It can be written as a sum of positive squares in 8 ways, for example, as 362673936 + 1314207504 = 19044^2 + 36252^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6233626 + ... + 6233894.

Almost surely, 2^1676881440 is an apocalyptic number.

1676881440 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 1676881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284903160).

1676881440 is an abundant number, since it is smaller than the sum of its proper divisors (4892924880).

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

1676881440 is a wasteful number, since it uses less digits than its factorization.

1676881440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1676881440 is about 40949.7428563355. The cubic root of 1676881440 is about 1188.0483604433.

The spelling of 1676881440 in words is "one billion, six hundred seventy-six million, eight hundred eighty-one thousand, four hundred forty".