6401897040 has 480 divisors, whose sum is σ = 25454977920. Its totient is φ = 1327011840.

The previous prime is 6401896997. The next prime is 6401897041. The reversal of 6401897040 is 407981046.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6401897040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401897041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15652356 + ... + 15652764.

It is an arithmetic number, because the mean of its divisors is an integer number (53031204).

Almost surely, 2^6401897040 is an apocalyptic number.

6401897040 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 6401897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727488960).

6401897040 is an abundant number, since it is smaller than the sum of its proper divisors (19053080880).

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

6401897040 is a wasteful number, since it uses less digits than its factorization.

6401897040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 6401897040 is about 80011.8556215265. The cubic root of 6401897040 is about 1856.8189586498.

The spelling of 6401897040 in words is "six billion, four hundred one million, eight hundred ninety-seven thousand, forty".