7268804640 has 144 divisors (see below), whose sum is σ = 24838795800. Its totient is φ = 1935691776.

The previous prime is 7268804633. The next prime is 7268804677. The reversal of 7268804640 is 464088627.

It can be written as a sum of positive squares in 4 ways, for example, as 5144332176 + 2124472464 = 71724^2 + 46092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190716 + ... + 1196804.

Almost surely, 2^7268804640 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 7268804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12419397900).

7268804640 is an abundant number, since it is smaller than the sum of its proper divisors (17569991160).

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

7268804640 is a wasteful number, since it uses less digits than its factorization.

7268804640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6939 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7268804640 is about 85257.2849673270. The cubic root of 7268804640 is about 1937.1102191414.

The spelling of 7268804640 in words is "seven billion, two hundred sixty-eight million, eight hundred four thousand, six hundred forty".