7286033664 has 864 divisors, whose sum is σ = 28570214400. Its totient is φ = 1731870720.

The previous prime is 7286033641. The next prime is 7286033669. The reversal of 7286033664 is 4663306827.

7286033664 is a `hidden beast` number, since 7 + 2 + 8 + 603 + 36 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7286033669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123492067 + ... + 123492125.

Almost surely, 2^7286033664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7286033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285107200).

7286033664 is an abundant number, since it is smaller than the sum of its proper divisors (21284180736).

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

7286033664 is a wasteful number, since it uses less digits than its factorization.

7286033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 7286033664 is about 85358.2665241042. The cubic root of 7286033664 is about 1938.6395024239.

The spelling of 7286033664 in words is "seven billion, two hundred eighty-six million, thirty-three thousand, six hundred sixty-four".