6802372362240 has 3264 divisors, whose sum is σ = 32533122424320. Its totient is φ = 1331775406080.

The previous prime is 6802372362239. The next prime is 6802372362287. The reversal of 6802372362240 is 422632732086.

6802372362240 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 372 + 36 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95808061405 + ... + 95808061475.

Almost surely, 2^{6802372362240} is an apocalyptic number.

6802372362240 is a gapful number since it is divisible by the number (60) 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 6802372362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266561212160).

6802372362240 is an abundant number, since it is smaller than the sum of its proper divisors (25730750062080).

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

6802372362240 is a wasteful number, since it uses less digits than its factorization.

6802372362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 6802372362240 in words is "six trillion, eight hundred two billion, three hundred seventy-two million, three hundred sixty-two thousand, two hundred forty".