6484262400 has 1440 divisors, whose sum is σ = 31345636608. Its totient is φ = 1238630400.

The previous prime is 6484262371. The next prime is 6484262423. The reversal of 6484262400 is 42624846.

It is a happy number.

6484262400 is a `hidden beast` number, since 648 + 4 + 2 + 6 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 150796779 + ... + 150796821.

Almost surely, 2^6484262400 is an apocalyptic number.

6484262400 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 6484262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672818304).

6484262400 is an abundant number, since it is smaller than the sum of its proper divisors (24861374208).

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

6484262400 is a wasteful number, since it uses less digits than its factorization.

6484262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6484262400 is about 80524.9178826033. The cubic root of 6484262400 is about 1864.7481876762.

The spelling of 6484262400 in words is "six billion, four hundred eighty-four million, two hundred sixty-two thousand, four hundred".