9701379072 has 880 divisors, whose sum is σ = 38044723200. Its totient is φ = 2438553600.

The previous prime is 9701379059. The next prime is 9701379089. The reversal of 9701379072 is 2709731079.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 312947697 + ... + 312947727.

It is an arithmetic number, because the mean of its divisors is an integer number (43232640).

Almost surely, 2^9701379072 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 9701379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19022361600).

9701379072 is an abundant number, since it is smaller than the sum of its proper divisors (28343344128).

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

9701379072 is a wasteful number, since it uses less digits than its factorization.

9701379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 9701379072 is about 98495.5789464685. The cubic root of 9701379072 is about 2132.7722996920.

The spelling of 9701379072 in words is "nine billion, seven hundred one million, three hundred seventy-nine thousand, seventy-two".