673215840 has 384 divisors, whose sum is σ = 2659184640. Its totient is φ = 157593600.

The previous prime is 673215839. The next prime is 673215841. The reversal of 673215840 is 48512376.

673215840 is a `hidden beast` number, since 6 + 73 + 2 + 1 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (673215839) and next prime (673215841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 673215795 and 673215804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673215841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1472892 + ... + 1473348.

It is an arithmetic number, because the mean of its divisors is an integer number (6924960).

Almost surely, 2^673215840 is an apocalyptic number.

673215840 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 673215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329592320).

673215840 is an abundant number, since it is smaller than the sum of its proper divisors (1985968800).

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

673215840 is a wasteful number, since it uses less digits than its factorization.

673215840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 673215840 is about 25946.4032189435. The cubic root of 673215840 is about 876.4317631380.

The spelling of 673215840 in words is "six hundred seventy-three million, two hundred fifteen thousand, eight hundred forty".