7287387541632 has 768 divisors, whose sum is σ = 24649831664640. Its totient is φ = 2045362176000.

The previous prime is 7287387541583. The next prime is 7287387541657. The reversal of 7287387541632 is 2361457837827.

It is a happy number.

7287387541632 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 3 + 87 + 541 + 6 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7287387541632.

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, 853619668 + ... + 853628204.

It is an arithmetic number, because the mean of its divisors is an integer number (32096134980).

Almost surely, 2^{7287387541632} is an apocalyptic number.

7287387541632 is a gapful number since it is divisible by the number (72) 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 7287387541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324915832320).

7287387541632 is an abundant number, since it is smaller than the sum of its proper divisors (17362444123008).

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

7287387541632 is a wasteful number, since it uses less digits than its factorization.

7287387541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693 (or 8678 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 7287387541632 in words is "seven trillion, two hundred eighty-seven billion, three hundred eighty-seven million, five hundred forty-one thousand, six hundred thirty-two".