83970673710 has 320 divisors, whose sum is σ = 261819371520. Its totient is φ = 16866432000.

The previous prime is 83970673687. The next prime is 83970673729. The reversal of 83970673710 is 1737607938.

It is a super-2 number, since 2×83970673710² (a number of 23 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 95312470 + ... + 95313350.

It is an arithmetic number, because the mean of its divisors is an integer number (818185536).

Almost surely, 2^83970673710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83970673710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130909685760).

83970673710 is an abundant number, since it is smaller than the sum of its proper divisors (177848697810).

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

83970673710 is a wasteful number, since it uses less digits than its factorization.

83970673710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The spelling of 83970673710 in words is "eighty-three billion, nine hundred seventy million, six hundred seventy-three thousand, seven hundred ten".