7287168913920 has 2240 divisors, whose sum is σ = 31738688593920. Its totient is φ = 1567928254464.

The previous prime is 7287168913909. The next prime is 7287168913939. The reversal of 7287168913920 is 293198617827.

7287168913920 is a `hidden beast` number, since 7 + 2 + 87 + 168 + 9 + 1 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 23736706407 + ... + 23736706713.

It is an arithmetic number, because the mean of its divisors is an integer number (14169057408).

Almost surely, 2^{7287168913920} is an apocalyptic number.

7287168913920 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 7287168913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869344296960).

7287168913920 is an abundant number, since it is smaller than the sum of its proper divisors (24451519680000).

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

7287168913920 is an equidigital number, since it uses as much as digits as its factorization.

7287168913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

It can be divided in two parts, 728716 and 8913920, that added together give a triangular number (9642636 = T₄₃₉₁).

The spelling of 7287168913920 in words is "seven trillion, two hundred eighty-seven billion, one hundred sixty-eight million, nine hundred thirteen thousand, nine hundred twenty".