7287886356480 has 1344 divisors, whose sum is σ = 27690405050880. Its totient is φ = 1765961367552.

The previous prime is 7287886356473. The next prime is 7287886356533. The reversal of 7287886356480 is 846536887827.

7287886356480 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 88 + 63 + 5 + 6 + 480 = 666.

It is a super-2 number, since 2×7287886356480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7287886356399 and 7287886356408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32105226127 + ... + 32105226353.

Almost surely, 2^{7287886356480} 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 7287886356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845202525440).

7287886356480 is an abundant number, since it is smaller than the sum of its proper divisors (20402518694400).

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

7287886356480 is a wasteful number, since it uses less digits than its factorization.

7287886356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 7287886356480 in words is "seven trillion, two hundred eighty-seven billion, eight hundred eighty-six million, three hundred fifty-six thousand, four hundred eighty".