7645985280 has 560 divisors, whose sum is σ = 29223680904. Its totient is φ = 1911029760.

The previous prime is 7645985279. The next prime is 7645985293. The reversal of 7645985280 is 825895467.

7645985280 is a `hidden beast` number, since 7 + 64 + 59 + 8 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7390497024 + 255488256 = 85968^2 + 15984^2 .

It is a super-2 number, since 2×7645985280² (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 an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31725960 + ... + 31726200.

Almost surely, 2^7645985280 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 7645985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14611840452).

7645985280 is an abundant number, since it is smaller than the sum of its proper divisors (21577695624).

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

7645985280 is an equidigital number, since it uses as much as digits as its factorization.

7645985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 7645985280 is about 87441.3247841088. The cubic root of 7645985280 is about 1970.0525877722.

The spelling of 7645985280 in words is "seven billion, six hundred forty-five million, nine hundred eighty-five thousand, two hundred eighty".