6387619440 has 160 divisors (see below), whose sum is σ = 21643186176. Its totient is φ = 1551421440.

The previous prime is 6387619391. The next prime is 6387619507. The reversal of 6387619440 is 449167836.

It is a super-2 number, since 2×6387619440² = 81603364220531827200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6387619440.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 101229 + ... + 151731.

Almost surely, 2^6387619440 is an apocalyptic number.

6387619440 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 6387619440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821593088).

6387619440 is an abundant number, since it is smaller than the sum of its proper divisors (15255566736).

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

6387619440 is a wasteful number, since it uses less digits than its factorization.

6387619440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50567 (or 50561 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 6387619440 is about 79922.5840423093. The cubic root of 6387619440 is about 1855.4375633648.

The spelling of 6387619440 in words is "six billion, three hundred eighty-seven million, six hundred nineteen thousand, four hundred forty".