6738574602240 has 1664 divisors, whose sum is σ = 26648109250560. Its totient is φ = 1625330810880.

The previous prime is 6738574602239. The next prime is 6738574602241. The reversal of 6738574602240 is 422064758376.

6738574602240 is a `hidden beast` number, since 6 + 7 + 3 + 8 + 5 + 7 + 4 + 602 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6738574602239) and next prime (6738574602241).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6738574602241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41340948399 + ... + 41340948561.

Almost surely, 2^{6738574602240} is an apocalyptic number.

6738574602240 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 6738574602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324054625280).

6738574602240 is an abundant number, since it is smaller than the sum of its proper divisors (19909534648320).

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

6738574602240 is an equidigital number, since it uses as much as digits as its factorization.

6738574602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 6738574602240 in words is "six trillion, seven hundred thirty-eight billion, five hundred seventy-four million, six hundred two thousand, two hundred forty".