676347840 has 448 divisors, whose sum is σ = 2791480320. Its totient is φ = 150958080.

The previous prime is 676347823. The next prime is 676347869. The reversal of 676347840 is 48743676.

676347840 is a `hidden beast` number, since 6 + 7 + 634 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 3205335 + ... + 3205545.

Almost surely, 2^676347840 is an apocalyptic number.

676347840 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 676347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395740160).

676347840 is an abundant number, since it is smaller than the sum of its proper divisors (2115132480).

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

676347840 is a wasteful number, since it uses less digits than its factorization.

676347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 676347840 is about 26006.6883704942. The cubic root of 676347840 is about 877.7888011339.

The spelling of 676347840 in words is "six hundred seventy-six million, three hundred forty-seven thousand, eight hundred forty".