7295961920 has 224 divisors, whose sum is σ = 19438973568. Its totient is φ = 2590728192.

The previous prime is 7295961899. The next prime is 7295961923. The reversal of 7295961920 is 291695927.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7295961923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16469219 + ... + 16469661.

It is an arithmetic number, because the mean of its divisors is an integer number (86781132).

Almost surely, 2^7295961920 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 7295961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9719486784).

7295961920 is an abundant number, since it is smaller than the sum of its proper divisors (12143011648).

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

7295961920 is a wasteful number, since it uses less digits than its factorization.

7295961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 50.

The square root of 7295961920 is about 85416.4031085365. The cubic root of 7295961920 is about 1939.5196600137.

The spelling of 7295961920 in words is "seven billion, two hundred ninety-five million, nine hundred sixty-one thousand, nine hundred twenty".