6401356992 has 224 divisors, whose sum is σ = 19629120000. Its totient is φ = 2043159552.

The previous prime is 6401356961. The next prime is 6401357003. The reversal of 6401356992 is 2996531046.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6965109 + ... + 6966027.

It is an arithmetic number, because the mean of its divisors is an integer number (87630000).

Almost surely, 2^6401356992 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 6401356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814560000).

6401356992 is an abundant number, since it is smaller than the sum of its proper divisors (13227763008).

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

6401356992 is a wasteful number, since it uses less digits than its factorization.

6401356992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6401356992 is about 80008.4807504804. The cubic root of 6401356992 is about 1856.7667449827.

The spelling of 6401356992 in words is "six billion, four hundred one million, three hundred fifty-six thousand, nine hundred ninety-two".