9695060870400 has 1296 divisors, whose sum is σ = 37818195105600. Its totient is φ = 2361501941760.

The previous prime is 9695060870393. The next prime is 9695060870447. The reversal of 9695060870400 is 40780605969.

9695060870400 is a `hidden beast` number, since 9 + 69 + 50 + 60 + 8 + 70 + 400 = 666.

It is a super-2 number, since 2×9695060870400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3422187384 + ... + 3422190216.

It is an arithmetic number, because the mean of its divisors is an integer number (29180706100).

Almost surely, 2^{9695060870400} is an apocalyptic number.

9695060870400 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 9695060870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909097552800).

9695060870400 is an abundant number, since it is smaller than the sum of its proper divisors (28123134235200).

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

9695060870400 is a wasteful number, since it uses less digits than its factorization.

9695060870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 9695060870400 in words is "nine trillion, six hundred ninety-five billion, sixty million, eight hundred seventy thousand, four hundred".