673979151790080 has 3328 divisors, whose sum is σ = 2758159702425600. Its totient is φ = 155068598845440.

The previous prime is 673979151790031. The next prime is 673979151790103. The reversal of 673979151790080 is 80097151979376.

673979151790080 is a `hidden beast` number, since 6 + 7 + 39 + 79 + 1 + 517 + 9 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 673979151789990 and 673979151790008.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 975367802535 + ... + 975367803225.

Almost surely, 2^{673979151790080} is an apocalyptic number.

673979151790080 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 673979151790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379079851212800).

673979151790080 is an abundant number, since it is smaller than the sum of its proper divisors (2084180550635520).

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

673979151790080 is a wasteful number, since it uses less digits than its factorization.

673979151790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 72.

The spelling of 673979151790080 in words is "six hundred seventy-three trillion, nine hundred seventy-nine billion, one hundred fifty-one million, seven hundred ninety thousand, eighty".