9701252064 has 648 divisors, whose sum is σ = 35621743248. Its totient is φ = 2586608640.

The previous prime is 9701252051. The next prime is 9701252201. The reversal of 9701252064 is 4602521079.

9701252064 is a `hidden beast` number, since 9 + 70 + 1 + 2 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×9701252064³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 236615884 + ... + 236615924.

It is an arithmetic number, because the mean of its divisors is an integer number (54971826).

Almost surely, 2^9701252064 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 9701252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17810871624).

9701252064 is an abundant number, since it is smaller than the sum of its proper divisors (25920491184).

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

9701252064 is an equidigital number, since it uses as much as digits as its factorization.

9701252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9701252064 is about 98494.9342047600. The cubic root of 9701252064 is about 2132.7629924130.

The spelling of 9701252064 in words is "nine billion, seven hundred one million, two hundred fifty-two thousand, sixty-four".