6478655400 has 240 divisors, whose sum is σ = 25716255840. Its totient is φ = 1480809600.

The previous prime is 6478655389. The next prime is 6478655413. The reversal of 6478655400 is 45568746.

6478655400 is a `hidden beast` number, since 6 + 47 + 8 + 65 + 540 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 84835 + ... + 141965.

It is an arithmetic number, because the mean of its divisors is an integer number (107151066).

Almost surely, 2^6478655400 is an apocalyptic number.

6478655400 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 6478655400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12858127920).

6478655400 is an abundant number, since it is smaller than the sum of its proper divisors (19237600440).

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

6478655400 is a wasteful number, since it uses less digits than its factorization.

6478655400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57166 (or 57148 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6478655400 is about 80490.0950428064. The cubic root of 6478655400 is about 1864.2105445032.

The spelling of 6478655400 in words is "six billion, four hundred seventy-eight million, six hundred fifty-five thousand, four hundred".