673070250565440 has 9408 divisors, whose sum is σ = 3454997350291200. Its totient is φ = 122875009302528.

The previous prime is 673070250565429. The next prime is 673070250565579. The reversal of 673070250565440 is 44565052070376.

673070250565440 is a `hidden beast` number, since 6 + 7 + 3 + 0 + 70 + 2 + 5 + 0 + 565 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 1775910951171 + ... + 1775910951549.

Almost surely, 2^{673070250565440} is an apocalyptic number.

673070250565440 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 673070250565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727498675145600).

673070250565440 is an abundant number, since it is smaller than the sum of its proper divisors (2781927099725760).

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

673070250565440 is a wasteful number, since it uses less digits than its factorization.

673070250565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 673070250565440 in words is "six hundred seventy-three trillion, seventy billion, two hundred fifty million, five hundred sixty-five thousand, four hundred forty".