6007045496640 has 224 divisors, whose sum is σ = 19519796140416. Its totient is φ = 1564314501120.

The previous prime is 6007045496603. The next prime is 6007045496651. The reversal of 6007045496640 is 466945407006.

It is a congruent number.

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, 267194200 + ... + 267216680.

Almost surely, 2^{6007045496640} is an apocalyptic number.

6007045496640 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 6007045496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759898070208).

6007045496640 is an abundant number, since it is smaller than the sum of its proper divisors (13512750643776).

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

6007045496640 is a wasteful number, since it uses less digits than its factorization.

6007045496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29017 (or 29007 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 6007045496640 in words is "six trillion, seven billion, forty-five million, four hundred ninety-six thousand, six hundred forty".