9195056640 has 960 divisors, whose sum is σ = 40813673472. Its totient is φ = 1857945600.

The previous prime is 9195056623. The next prime is 9195056653. The reversal of 9195056640 is 466505919.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×9195056640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125959644 + ... + 125959716.

Almost surely, 2^9195056640 is an apocalyptic number.

9195056640 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 9195056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20406836736).

9195056640 is an abundant number, since it is smaller than the sum of its proper divisors (31618616832).

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

9195056640 is a wasteful number, since it uses less digits than its factorization.

9195056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9195056640 is about 95890.8579584102. The cubic root of 9195056640 is about 2095.0037415229.

The spelling of 9195056640 in words is "nine billion, one hundred ninety-five million, fifty-six thousand, six hundred forty".