673629840 has 240 divisors, whose sum is σ = 2469841920. Its totient is φ = 163537920.

The previous prime is 673629833. The next prime is 673629851. The reversal of 673629840 is 48926376.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×673629840² = 907554322676851200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738985 + ... + 739895.

It is an arithmetic number, because the mean of its divisors is an integer number (10291008).

Almost surely, 2^673629840 is an apocalyptic number.

673629840 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 673629840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234920960).

673629840 is an abundant number, since it is smaller than the sum of its proper divisors (1796212080).

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

673629840 is a wasteful number, since it uses less digits than its factorization.

673629840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 673629840 is about 25954.3799771830. The cubic root of 673629840 is about 876.6113827963.

The spelling of 673629840 in words is "six hundred seventy-three million, six hundred twenty-nine thousand, eight hundred forty".