6793766282240 has 1056 divisors, whose sum is σ = 20948284530432. Its totient is φ = 2062496563200.

The previous prime is 6793766282239. The next prime is 6793766282249. The reversal of 6793766282240 is 422826673976.

It is a super-2 number, since 2×6793766282240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6793766282249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24006241139 + ... + 24006241421.

Almost surely, 2^{6793766282240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6793766282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10474142265216).

6793766282240 is an abundant number, since it is smaller than the sum of its proper divisors (14154518248192).

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

6793766282240 is a wasteful number, since it uses less digits than its factorization.

6793766282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 62.

The spelling of 6793766282240 in words is "six trillion, seven hundred ninety-three billion, seven hundred sixty-six million, two hundred eighty-two thousand, two hundred forty".