9649907344900 has 27 divisors (see below), whose sum is σ = 20940366348181. Its totient is φ = 3859950512240.

The previous prime is 9649907344879. The next prime is 9649907344933. The reversal of 9649907344900 is 94437099469.

The square root of 9649907344900 is 3106430.

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

It can be written as a sum of positive squares in only one way, i.e., 3473966644164 + 6175940700736 = 1863858^2 + 2485144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30908979 + ... + 31219621.

Almost surely, 2^{9649907344900} is an apocalyptic number.

9649907344900 is the 3106430-th square number.

It is an amenable number.

9649907344900 is an abundant number, since it is smaller than the sum of its proper divisors (11290459003281).

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

9649907344900 is an frugal number, since it uses more digits than its factorization.

9649907344900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621300 (or 310650 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 64.

Multiplying 9649907344900 by its sum of digits (64), we get a square (617594070073600 = 24851440²).

The spelling of 9649907344900 in words is "nine trillion, six hundred forty-nine billion, nine hundred seven million, three hundred forty-four thousand, nine hundred".