6385499040 has 288 divisors, whose sum is σ = 21139937280. Its totient is φ = 1619896320.

The previous prime is 6385498981. The next prime is 6385499053. The reversal of 6385499040 is 409945836.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50279457 + ... + 50279583.

It is an arithmetic number, because the mean of its divisors is an integer number (73402560).

Almost surely, 2^6385499040 is an apocalyptic number.

6385499040 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 6385499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569968640).

6385499040 is an abundant number, since it is smaller than the sum of its proper divisors (14754438240).

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

6385499040 is a wasteful number, since it uses less digits than its factorization.

6385499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 6385499040 is about 79909.3176043945. The cubic root of 6385499040 is about 1855.2322335984.

The spelling of 6385499040 in words is "six billion, three hundred eighty-five million, four hundred ninety-nine thousand, forty".