1676816640 has 288 divisors, whose sum is σ = 6033888000. Its totient is φ = 446404608.

The previous prime is 1676816623. The next prime is 1676816657. The reversal of 1676816640 is 466186761.

It is an interprime number because it is at equal distance from previous prime (1676816623) and next prime (1676816657).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799061 + ... + 2799659.

It is an arithmetic number, because the mean of its divisors is an integer number (20951000).

Almost surely, 2^1676816640 is an apocalyptic number.

1676816640 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 1676816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016944000).

1676816640 is an abundant number, since it is smaller than the sum of its proper divisors (4357071360).

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

1676816640 is an frugal number, since it uses more digits than its factorization.

1676816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1676816640 is about 40948.9516349320. The cubic root of 1676816640 is about 1188.0330569314.

The spelling of 1676816640 in words is "one billion, six hundred seventy-six million, eight hundred sixteen thousand, six hundred forty".