6466370400 has 288 divisors, whose sum is σ = 26728289280. Its totient is φ = 1477992960.

The previous prime is 6466370389. The next prime is 6466370413. The reversal of 6466370400 is 40736646.

6466370400 is a `hidden beast` number, since 646 + 6 + 3 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6466370400² = 83627892299992320000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 129817 + ... + 172583.

It is an arithmetic number, because the mean of its divisors is an integer number (92806560).

Almost surely, 2^6466370400 is an apocalyptic number.

6466370400 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 6466370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13364144640).

6466370400 is an abundant number, since it is smaller than the sum of its proper divisors (20261918880).

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

6466370400 is a wasteful number, since it uses less digits than its factorization.

6466370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42803 (or 42784 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6466370400 is about 80413.7450937338. The cubic root of 6466370400 is about 1863.0314769304.

The spelling of 6466370400 in words is "six billion, four hundred sixty-six million, three hundred seventy thousand, four hundred".