673679970000 has 400 divisors, whose sum is σ = 2421874752000. Its totient is φ = 179238528000.

The previous prime is 673679969987. The next prime is 673679970031. The reversal of 673679970000 is 79976376.

673679970000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 129327396 + ... + 129332604.

It is an arithmetic number, because the mean of its divisors is an integer number (6054686880).

Almost surely, 2^673679970000 is an apocalyptic number.

673679970000 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 673679970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210937376000).

673679970000 is an abundant number, since it is smaller than the sum of its proper divisors (1748194782000).

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

673679970000 is a wasteful number, since it uses less digits than its factorization.

673679970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 673679970000 in words is "six hundred seventy-three billion, six hundred seventy-nine million, nine hundred seventy thousand".