6401740800 has 624 divisors, whose sum is σ = 26164019840. Its totient is φ = 1344798720.

The previous prime is 6401740789. The next prime is 6401740801. The reversal of 6401740800 is 80471046.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401740801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27955086 + ... + 27955314.

Almost surely, 2^6401740800 is an apocalyptic number.

6401740800 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 6401740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082009920).

6401740800 is an abundant number, since it is smaller than the sum of its proper divisors (19762279040).

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

6401740800 is a wasteful number, since it uses less digits than its factorization.

6401740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 6401740800 is about 80010.8792602606. The cubic root of 6401740800 is about 1856.8038531401.

The spelling of 6401740800 in words is "six billion, four hundred one million, seven hundred forty thousand, eight hundred".