7295965920 has 192 divisors, whose sum is σ = 25668498240. Its totient is φ = 1935489024.

The previous prime is 7295965811. The next prime is 7295965931. The reversal of 7295965920 is 295695927.

It is a happy number.

7295965920 is a `hidden beast` number, since 7 + 29 + 596 + 5 + 9 + 20 = 666.

It is a super-2 number, since 2×7295965920² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846754 + ... + 855326.

It is an arithmetic number, because the mean of its divisors is an integer number (133690095).

Almost surely, 2^7295965920 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 7295965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834249120).

7295965920 is an abundant number, since it is smaller than the sum of its proper divisors (18372532320).

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

7295965920 is a wasteful number, since it uses less digits than its factorization.

7295965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 7295965920 is about 85416.4265232397. The cubic root of 7295965920 is about 1939.5200144599.

The spelling of 7295965920 in words is "seven billion, two hundred ninety-five million, nine hundred sixty-five thousand, nine hundred twenty".