973623006720 has 2160 divisors, whose sum is σ = 4421577045600. Its totient is φ = 205423755264.

The previous prime is 973623006701. The next prime is 973623006731. The reversal of 973623006720 is 27600326379.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 74894077434 + ... + 74894077446.

It is an arithmetic number, because the mean of its divisors is an integer number (2047026410).

Almost surely, 2^973623006720 is an apocalyptic number.

973623006720 is a gapful number since it is divisible by the number (90) 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 973623006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210788522800).

973623006720 is an abundant number, since it is smaller than the sum of its proper divisors (3447954038880).

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

973623006720 is an frugal number, since it uses more digits than its factorization.

973623006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 973623006720 in words is "nine hundred seventy-three billion, six hundred twenty-three million, six thousand, seven hundred twenty".