973685831040 has 384 divisors, whose sum is σ = 3833892972000. Its totient is φ = 225577598976.

The previous prime is 973685831003. The next prime is 973685831071. The reversal of 973685831040 is 40138586379.

973685831040 is a `hidden beast` number, since 9 + 7 + 3 + 6 + 8 + 583 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 890511 + ... + 1655409.

Almost surely, 2^973685831040 is an apocalyptic number.

973685831040 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 973685831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916946486000).

973685831040 is an abundant number, since it is smaller than the sum of its proper divisors (2860207140960).

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

973685831040 is a wasteful number, since it uses less digits than its factorization.

973685831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764954 (or 764939 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 973685831040 in words is "nine hundred seventy-three billion, six hundred eighty-five million, eight hundred thirty-one thousand, forty".