7287564760 has 192 divisors, whose sum is σ = 20945977920. Its totient is φ = 2227322880.

The previous prime is 7287564749. The next prime is 7287564769. The reversal of 7287564760 is 674657827.

It is a junction number, because it is equal to n+sod(n) for n = 7287564698 and 7287564707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7287564769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1716240 + ... + 1720480.

It is an arithmetic number, because the mean of its divisors is an integer number (109093635).

Almost surely, 2^7287564760 is an apocalyptic number.

7287564760 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 7287564760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472988960).

7287564760 is an abundant number, since it is smaller than the sum of its proper divisors (13658413160).

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

7287564760 is a wasteful number, since it uses less digits than its factorization.

7287564760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The square root of 7287564760 is about 85367.2346980971. The cubic root of 7287564760 is about 1938.7752889360.

The spelling of 7287564760 in words is "seven billion, two hundred eighty-seven million, five hundred sixty-four thousand, seven hundred sixty".