6440072637440 has 352 divisors, whose sum is σ = 16995244029120. Its totient is φ = 2326905225216.

The previous prime is 6440072637377. The next prime is 6440072637461. The reversal of 6440072637440 is 447362700446.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1478095742 + ... + 1478100098.

Almost surely, 2^{6440072637440} 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 6440072637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497622014560).

6440072637440 is an abundant number, since it is smaller than the sum of its proper divisors (10555171391680).

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

6440072637440 is a wasteful number, since it uses less digits than its factorization.

6440072637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 47.

The spelling of 6440072637440 in words is "six trillion, four hundred forty billion, seventy-two million, six hundred thirty-seven thousand, four hundred forty".