7287459840 has 520 divisors, whose sum is σ = 27402236928. Its totient is φ = 1849098240.

The previous prime is 7287459827. The next prime is 7287459859. The reversal of 7287459840 is 489547827.

It is a happy number.

7287459840 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 4 + 598 + 40 = 666.

It is a super-2 number, since 2×7287459840² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38154145 + ... + 38154335.

Almost surely, 2^7287459840 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 7287459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701118464).

7287459840 is an abundant number, since it is smaller than the sum of its proper divisors (20114777088).

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

7287459840 is a wasteful number, since it uses less digits than its factorization.

7287459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 7287459840 is about 85366.6201743984. The cubic root of 7287459840 is about 1938.7659846263.

The spelling of 7287459840 in words is "seven billion, two hundred eighty-seven million, four hundred fifty-nine thousand, eight hundred forty".