7287346986192 has 720 divisors, whose sum is σ = 27585798110208. Its totient is φ = 1750509895680.

The previous prime is 7287346986173. The next prime is 7287346986211. The reversal of 7287346986192 is 2916896437827.

7287346986192 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 346 + 98 + 6 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (7287346986173) and next prime (7287346986211).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7287346986192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89734918 + ... + 89816090.

Almost surely, 2^{7287346986192} is an apocalyptic number.

7287346986192 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 7287346986192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13792899055104).

7287346986192 is an abundant number, since it is smaller than the sum of its proper divisors (20298451124016).

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

7287346986192 is a wasteful number, since it uses less digits than its factorization.

7287346986192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81268 (or 81246 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 7287346986192 in words is "seven trillion, two hundred eighty-seven billion, three hundred forty-six million, nine hundred eighty-six thousand, one hundred ninety-two".