6464062800 has 360 divisors, whose sum is σ = 24817194584. Its totient is φ = 1547735040.

The previous prime is 6464062799. The next prime is 6464062873. The reversal of 6464062800 is 82604646.

It is a happy number.

6464062800 is a `hidden beast` number, since 6 + 4 + 640 + 6 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1367816256 + 5096246544 = 36984^2 + 71388^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1729734 + ... + 1733466.

Almost surely, 2^6464062800 is an apocalyptic number.

6464062800 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 6464062800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408597292).

6464062800 is an abundant number, since it is smaller than the sum of its proper divisors (18353131784).

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

6464062800 is a wasteful number, since it uses less digits than its factorization.

6464062800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6464062800 is about 80399.3955201157. The cubic root of 6464062800 is about 1862.8098356968.

The spelling of 6464062800 in words is "six billion, four hundred sixty-four million, sixty-two thousand, eight hundred".