6482876400 has 1080 divisors, whose sum is σ = 30865305744. Its totient is φ = 1238630400.

The previous prime is 6482876371. The next prime is 6482876431. The reversal of 6482876400 is 46782846.

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 215 ways as a sum of consecutive naturals, for example, 25225072 + ... + 25225328.

Almost surely, 2^6482876400 is an apocalyptic number.

6482876400 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 6482876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432652872).

6482876400 is an abundant number, since it is smaller than the sum of its proper divisors (24382429344).

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

6482876400 is a wasteful number, since it uses less digits than its factorization.

6482876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6482876400 is about 80516.3113909225. The cubic root of 6482876400 is about 1864.6153159632.

The spelling of 6482876400 in words is "six billion, four hundred eighty-two million, eight hundred seventy-six thousand, four hundred".