6739308656640 has 1728 divisors, whose sum is σ = 29102227015680. Its totient is φ = 1489886576640.

The previous prime is 6739308656627. The next prime is 6739308656653. The reversal of 6739308656640 is 466568039376.

It is a happy number.

6739308656640 is a `hidden beast` number, since 6 + 7 + 39 + 30 + 8 + 6 + 566 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6739308656627) and next prime (6739308656653).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3779757189 + ... + 3779758971.

It is an arithmetic number, because the mean of its divisors is an integer number (16841566560).

Almost surely, 2^{6739308656640} is an apocalyptic number.

6739308656640 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 6739308656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551113507840).

6739308656640 is an abundant number, since it is smaller than the sum of its proper divisors (22362918359040).

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

6739308656640 is a wasteful number, since it uses less digits than its factorization.

6739308656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 6739308656640 in words is "six trillion, seven hundred thirty-nine billion, three hundred eight million, six hundred fifty-six thousand, six hundred forty".