973370960640 has 1440 divisors, whose sum is σ = 3988841472000. Its totient is φ = 224665436160.

The previous prime is 973370960623. The next prime is 973370960647. The reversal of 973370960640 is 46069073379.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (973370960647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4891311261 + ... + 4891311459.

It is an arithmetic number, because the mean of its divisors is an integer number (2770028800).

Almost surely, 2^973370960640 is an apocalyptic number.

973370960640 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 973370960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994420736000).

973370960640 is an abundant number, since it is smaller than the sum of its proper divisors (3015470511360).

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

973370960640 is a wasteful number, since it uses less digits than its factorization.

973370960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 973370960640 in words is "nine hundred seventy-three billion, three hundred seventy million, nine hundred sixty thousand, six hundred forty".