7425976320 has 480 divisors, whose sum is σ = 30443212800. Its totient is φ = 1696038912.

The previous prime is 7425976309. The next prime is 7425976339. The reversal of 7425976320 is 236795247.

7425976320 is a `hidden beast` number, since 7 + 4 + 2 + 5 + 9 + 7 + 632 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5805441 + ... + 5806719.

It is an arithmetic number, because the mean of its divisors is an integer number (63423360).

Almost surely, 2^7425976320 is an apocalyptic number.

7425976320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7425976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221606400).

7425976320 is an abundant number, since it is smaller than the sum of its proper divisors (23017236480).

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

7425976320 is a wasteful number, since it uses less digits than its factorization.

7425976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7425976320 is about 86174.1046950881. The cubic root of 7425976320 is about 1950.9726745054.

The spelling of 7425976320 in words is "seven billion, four hundred twenty-five million, nine hundred seventy-six thousand, three hundred twenty".