973909000540 has 192 divisors, whose sum is σ = 2387051347968. Its totient is φ = 326904480000.

The previous prime is 973909000517. The next prime is 973909000541. The reversal of 973909000540 is 45000909379.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973909000541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662072005 + ... + 662073475.

It is an arithmetic number, because the mean of its divisors is an integer number (12432559104).

Almost surely, 2^973909000540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973909000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193525673984).

973909000540 is an abundant number, since it is smaller than the sum of its proper divisors (1413142347428).

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

973909000540 is a wasteful number, since it uses less digits than its factorization.

973909000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 46.

The spelling of 973909000540 in words is "nine hundred seventy-three billion, nine hundred nine million, five hundred forty", and thus it is an aban number.