6403938948992 has 192 divisors, whose sum is σ = 14558508866160. Its totient is φ = 2788881408000.

The previous prime is 6403938948983. The next prime is 6403938949007. The reversal of 6403938948992 is 2998498393046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150755468 + ... + 150797940.

Almost surely, 2^{6403938948992} 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 6403938948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279254433080).

6403938948992 is an abundant number, since it is smaller than the sum of its proper divisors (8154569917168).

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

6403938948992 is a wasteful number, since it uses less digits than its factorization.

6403938948992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42789 (or 42758 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 74.

The spelling of 6403938948992 in words is "six trillion, four hundred three billion, nine hundred thirty-eight million, nine hundred forty-eight thousand, nine hundred ninety-two".