6478669440 has 256 divisors, whose sum is σ = 23944377600. Its totient is φ = 1652428800.

The previous prime is 6478669429. The next prime is 6478669501. The reversal of 6478669440 is 449668746.

6478669440 is a `hidden beast` number, since 64 + 7 + 86 + 69 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389290 + ... + 405590.

It is an arithmetic number, because the mean of its divisors is an integer number (93532725).

Almost surely, 2^6478669440 is an apocalyptic number.

6478669440 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 6478669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972188800).

6478669440 is an abundant number, since it is smaller than the sum of its proper divisors (17465708160).

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

6478669440 is a wasteful number, since it uses less digits than its factorization.

6478669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16352 (or 16334 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 6478669440 is about 80490.1822584593. The cubic root of 6478669440 is about 1864.2118911560.

The spelling of 6478669440 in words is "six billion, four hundred seventy-eight million, six hundred sixty-nine thousand, four hundred forty".