7305972960 has 384 divisors, whose sum is σ = 27244740096. Its totient is φ = 1622384640.

The previous prime is 7305972959. The next prime is 7305973013. The reversal of 7305972960 is 692795037.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11187994 + ... + 11188646.

It is an arithmetic number, because the mean of its divisors is an integer number (70949844).

Almost surely, 2^7305972960 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 7305972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622370048).

7305972960 is an abundant number, since it is smaller than the sum of its proper divisors (19938767136).

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

7305972960 is a wasteful number, since it uses less digits than its factorization.

7305972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 7305972960 is about 85474.9844106450. The cubic root of 7305972960 is about 1940.4063484377.

The spelling of 7305972960 in words is "seven billion, three hundred five million, nine hundred seventy-two thousand, nine hundred sixty".