7287785809920 has 1920 divisors, whose sum is σ = 33197181937920. Its totient is φ = 1485082460160.

The previous prime is 7287785809919. The next prime is 7287785809937. The reversal of 7287785809920 is 299085877827.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×7287785809920² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3384943564 + ... + 3384945716.

It is an arithmetic number, because the mean of its divisors is an integer number (17290198926).

Almost surely, 2^{7287785809920} is an apocalyptic number.

7287785809920 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 7287785809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598590968960).

7287785809920 is an abundant number, since it is smaller than the sum of its proper divisors (25909396128000).

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

7287785809920 is a wasteful number, since it uses less digits than its factorization.

7287785809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 7287785809920 in words is "seven trillion, two hundred eighty-seven billion, seven hundred eighty-five million, eight hundred nine thousand, nine hundred twenty".