6381897984 has 540 divisors, whose sum is σ = 24191255088. Its totient is φ = 1654732800.

The previous prime is 6381897983. The next prime is 6381898031. The reversal of 6381897984 is 4897981836.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6381897983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11176419 + ... + 11176989.

Almost surely, 2^6381897984 is an apocalyptic number.

6381897984 is a gapful number since it is divisible by the number (64) 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 6381897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095627544).

6381897984 is an abundant number, since it is smaller than the sum of its proper divisors (17809357104).

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

6381897984 is a wasteful number, since it uses less digits than its factorization.

6381897984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 594 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 6381897984 is about 79886.7822859326. The cubic root of 6381897984 is about 1854.8834197531.

The spelling of 6381897984 in words is "six billion, three hundred eighty-one million, eight hundred ninety-seven thousand, nine hundred eighty-four".