6403713921792 has 864 divisors, whose sum is σ = 21576958484480. Its totient is φ = 1870022246400.

The previous prime is 6403713921767. The next prime is 6403713921793. The reversal of 6403713921792 is 2971293173046.

6403713921792 is a `hidden beast` number, since 6 + 403 + 7 + 13 + 9 + 217 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6403713921793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9515176368 + ... + 9515177040.

Almost surely, 2^{6403713921792} is an apocalyptic number.

6403713921792 is a gapful number since it is divisible by the number (62) 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 6403713921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10788479242240).

6403713921792 is an abundant number, since it is smaller than the sum of its proper divisors (15173244562688).

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

6403713921792 is a wasteful number, since it uses less digits than its factorization.

6403713921792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 6403713921792 in words is "six trillion, four hundred three billion, seven hundred thirteen million, nine hundred twenty-one thousand, seven hundred ninety-two".