6386244480 has 1152 divisors, whose sum is σ = 29876052960. Its totient is φ = 1248952320.

The previous prime is 6386244479. The next prime is 6386244499. The reversal of 6386244480 is 844426836.

6386244480 is a `hidden beast` number, since 638 + 6 + 2 + 4 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375661432 + ... + 375661448.

Almost surely, 2^6386244480 is an apocalyptic number.

6386244480 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 6386244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938026480).

6386244480 is an abundant number, since it is smaller than the sum of its proper divisors (23489808480).

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

6386244480 is a wasteful number, since it uses less digits than its factorization.

6386244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 6386244480 is about 79913.9817553850. The cubic root of 6386244480 is about 1855.3044237538.

The spelling of 6386244480 in words is "six billion, three hundred eighty-six million, two hundred forty-four thousand, four hundred eighty".