6634183614240 has 384 divisors, whose sum is σ = 26549909471232. Its totient is φ = 1354586664960.

The previous prime is 6634183614197. The next prime is 6634183614299. The reversal of 6634183614240 is 424163814366.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6634183614240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1095622 + ... + 3803781.

It is an arithmetic number, because the mean of its divisors is an integer number (69140389248).

Almost surely, 2^{6634183614240} is an apocalyptic number.

6634183614240 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 6634183614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274954735616).

6634183614240 is an abundant number, since it is smaller than the sum of its proper divisors (19915725856992).

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

6634183614240 is a wasteful number, since it uses less digits than its factorization.

6634183614240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899472 (or 4899464 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 6634183614240 in words is "six trillion, six hundred thirty-four billion, one hundred eighty-three million, six hundred fourteen thousand, two hundred forty".