973468797840 has 960 divisors, whose sum is σ = 4264467056640. Its totient is φ = 201833856000.

The previous prime is 973468797823. The next prime is 973468797911. The reversal of 973468797840 is 48797864379.

973468797840 is a `hidden beast` number, since 9 + 73 + 468 + 7 + 97 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 944198125 + ... + 944199155.

It is an arithmetic number, because the mean of its divisors is an integer number (4442153184).

Almost surely, 2^973468797840 is an apocalyptic number.

973468797840 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 973468797840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132233528320).

973468797840 is an abundant number, since it is smaller than the sum of its proper divisors (3290998258800).

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

973468797840 is a wasteful number, since it uses less digits than its factorization.

973468797840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 973468797840 in words is "nine hundred seventy-three billion, four hundred sixty-eight million, seven hundred ninety-seven thousand, eight hundred forty".