7267428864 has 400 divisors, whose sum is σ = 23885167680. Its totient is φ = 2189721600.

The previous prime is 7267428811. The next prime is 7267428869. The reversal of 7267428864 is 4688247627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7225344) is a multiple of the sum of its prime divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 7267428864.

It is not an unprimeable number, because it can be changed into a prime (7267428869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18123064 + ... + 18123464.

Almost surely, 2^7267428864 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 7267428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942583840).

7267428864 is an abundant number, since it is smaller than the sum of its proper divisors (16617738816).

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

7267428864 is a wasteful number, since it uses less digits than its factorization.

7267428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 7267428864 is about 85249.2162075406. The cubic root of 7267428864 is about 1936.9879983162.

The spelling of 7267428864 in words is "seven billion, two hundred sixty-seven million, four hundred twenty-eight thousand, eight hundred sixty-four".