9695120400 has 1080 divisors, whose sum is σ = 42914054664. Its totient is φ = 2012774400.

The previous prime is 9695120359. The next prime is 9695120411. The reversal of 9695120400 is 40215969.

It can be written as a sum of positive squares in 12 ways, for example, as 2863106064 + 6832014336 = 53508^2 + 82656^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 158936370 + ... + 158936430.

Almost surely, 2^9695120400 is an apocalyptic number.

9695120400 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 9695120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457027332).

9695120400 is an abundant number, since it is smaller than the sum of its proper divisors (33218934264).

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

9695120400 is a wasteful number, since it uses less digits than its factorization.

9695120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9695120400 is about 98463.8024859897. The cubic root of 9695120400 is about 2132.3135610020.

The spelling of 9695120400 in words is "nine billion, six hundred ninety-five million, one hundred twenty thousand, four hundred".