673251779970 has 640 divisors, whose sum is σ = 2308732968960. Its totient is φ = 136727585280.

The previous prime is 673251779927. The next prime is 673251779987. The reversal of 673251779970 is 79977152376.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 673251779898 and 673251779907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 527212972 + ... + 527214248.

It is an arithmetic number, because the mean of its divisors is an integer number (3607395264).

Almost surely, 2^673251779970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673251779970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154366484480).

673251779970 is an abundant number, since it is smaller than the sum of its proper divisors (1635481188990).

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

673251779970 is a wasteful number, since it uses less digits than its factorization.

673251779970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 35006580, while the sum is 63.

The spelling of 673251779970 in words is "six hundred seventy-three billion, two hundred fifty-one million, seven hundred seventy-nine thousand, nine hundred seventy".