7395792480 has 336 divisors, whose sum is σ = 26425329840. Its totient is φ = 1955073024.

The previous prime is 7395792433. The next prime is 7395792497. The reversal of 7395792480 is 842975937.

7395792480 is a `hidden beast` number, since 7 + 3 + 95 + 79 + 2 + 480 = 666.

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19012126 + ... + 19012514.

It is an arithmetic number, because the mean of its divisors is an integer number (78646815).

Almost surely, 2^7395792480 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 7395792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212664920).

7395792480 is an abundant number, since it is smaller than the sum of its proper divisors (19029537360).

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

7395792480 is a wasteful number, since it uses less digits than its factorization.

7395792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7395792480 is about 85998.7934799088. The cubic root of 7395792480 is about 1948.3257581979.

The spelling of 7395792480 in words is "seven billion, three hundred ninety-five million, seven hundred ninety-two thousand, four hundred eighty".