7264620000 has 480 divisors, whose sum is σ = 28907746560. Its totient is φ = 1759680000.

The previous prime is 7264619981. The next prime is 7264620007. The reversal of 7264620000 is 264627.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7264620007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5939389 + ... + 5940611.

It is an arithmetic number, because the mean of its divisors is an integer number (60224472).

Almost surely, 2^7264620000 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 7264620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453873280).

7264620000 is an abundant number, since it is smaller than the sum of its proper divisors (21643126560).

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

7264620000 is a wasteful number, since it uses less digits than its factorization.

7264620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7264620000 is about 85232.7401882633. The cubic root of 7264620000 is about 1936.7384172948.

Adding to 7264620000 its reverse (264627), we get a palindrome (7264884627).

It can be divided in two parts, 7264 and 620000, that added together give a square (627264 = 792²).

The spelling of 7264620000 in words is "seven billion, two hundred sixty-four million, six hundred twenty thousand".