9662896590400 has 63 divisors (see below), whose sum is σ = 23777070882771. Its totient is φ = 3865108899840.

The previous prime is 9662896590377. The next prime is 9662896590409. The reversal of 9662896590400 is 40956982669.

The square root of 9662896590400 is 3108520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 221976668736 + 9440919921664 = 471144^2 + 3072608^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9662896590409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124301944 + ... + 124379656.

Almost surely, 2^{9662896590400} is an apocalyptic number.

9662896590400 is the 3108520-th square number.

It is an amenable number.

9662896590400 is an abundant number, since it is smaller than the sum of its proper divisors (14114174292371).

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

9662896590400 is an frugal number, since it uses more digits than its factorization.

9662896590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155448 (or 77720 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

Multiplying 9662896590400 by its sum of digits (64), we get a square (618425381785600 = 24868160²).

9662896590400 divided by its sum of digits (64) gives a square (150982759225 = 388565²).

The spelling of 9662896590400 in words is "nine trillion, six hundred sixty-two billion, eight hundred ninety-six million, five hundred ninety thousand, four hundred".