7287361536 has 520 divisors, whose sum is σ = 25696149920. Its totient is φ = 1820786688.

The previous prime is 7287361507. The next prime is 7287361553. The reversal of 7287361536 is 6351637827.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 383545335 + ... + 383545353.

Almost surely, 2^7287361536 is an apocalyptic number.

7287361536 is a gapful number since it is divisible by the number (76) 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 7287361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848074960).

7287361536 is an abundant number, since it is smaller than the sum of its proper divisors (18408788384).

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

7287361536 is an equidigital number, since it uses as much as digits as its factorization.

7287361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 44 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 7287361536 is about 85366.0443970552. The cubic root of 7287361536 is about 1938.7572669426.

The spelling of 7287361536 in words is "seven billion, two hundred eighty-seven million, three hundred sixty-one thousand, five hundred thirty-six".