6738007096440 has 192 divisors, whose sum is σ = 22855726333440. Its totient is φ = 1718296968960.

The previous prime is 6738007096433. The next prime is 6738007096477. The reversal of 6738007096440 is 446907008376.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38024445 + ... + 38201235.

It is an arithmetic number, because the mean of its divisors is an integer number (119040241320).

Almost surely, 2^{6738007096440} is an apocalyptic number.

6738007096440 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 6738007096440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427863166720).

6738007096440 is an abundant number, since it is smaller than the sum of its proper divisors (16117719237000).

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

6738007096440 is a wasteful number, since it uses less digits than its factorization.

6738007096440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181434 (or 181427 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6738007096440 in words is "six trillion, seven hundred thirty-eight billion, seven million, ninety-six thousand, four hundred forty".