673037640 has 256 divisors, whose sum is σ = 2468793600. Its totient is φ = 161740800.

The previous prime is 673037609. The next prime is 673037647. The reversal of 673037640 is 46730376.

673037640 is a `hidden beast` number, since 6 + 7 + 3 + 0 + 3 + 7 + 640 = 666.

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 = 673037595 and 673037604.

It is not an unprimeable number, because it can be changed into a prime (673037647) 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, 2150124 + ... + 2150436.

It is an arithmetic number, because the mean of its divisors is an integer number (9643725).

Almost surely, 2^673037640 is an apocalyptic number.

673037640 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 673037640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234396800).

673037640 is an abundant number, since it is smaller than the sum of its proper divisors (1795755960).

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

673037640 is a wasteful number, since it uses less digits than its factorization.

673037640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 673037640 is about 25942.9689896897. The cubic root of 673037640 is about 876.3544259190.

The spelling of 673037640 in words is "six hundred seventy-three million, thirty-seven thousand, six hundred forty".