7591280640 has 480 divisors, whose sum is σ = 27178260480. Its totient is φ = 1799356416.

The previous prime is 7591280633. The next prime is 7591280647. The reversal of 7591280640 is 460821957.

It is an interprime number because it is at equal distance from previous prime (7591280633) and next prime (7591280647).

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 7591280592 and 7591280601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7591280647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96092121 + ... + 96092199.

It is an arithmetic number, because the mean of its divisors is an integer number (56621376).

Almost surely, 2^7591280640 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 7591280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589130240).

7591280640 is an abundant number, since it is smaller than the sum of its proper divisors (19586979840).

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

7591280640 is a wasteful number, since it uses less digits than its factorization.

7591280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 7591280640 is about 87127.9555596251. The cubic root of 7591280640 is about 1965.3429672838.

The spelling of 7591280640 in words is "seven billion, five hundred ninety-one million, two hundred eighty thousand, six hundred forty".