6721142400 has 384 divisors, whose sum is σ = 28113974400. Its totient is φ = 1536122880.

The previous prime is 6721142381. The next prime is 6721142411. The reversal of 6721142400 is 42411276.

6721142400 is a `hidden beast` number, since 6 + 7 + 211 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6721142400² = 90347510322155520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 599244 + ... + 610356.

It is an arithmetic number, because the mean of its divisors is an integer number (73213475).

Almost surely, 2^6721142400 is an apocalyptic number.

6721142400 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 6721142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056987200).

6721142400 is an abundant number, since it is smaller than the sum of its proper divisors (21392832000).

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

6721142400 is a wasteful number, since it uses less digits than its factorization.

6721142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11153 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6721142400 is about 81982.5737580859. The cubic root of 6721142400 is about 1887.1845204645.

Adding to 6721142400 its reverse (42411276), we get a palindrome (6763553676).

The spelling of 6721142400 in words is "six billion, seven hundred twenty-one million, one hundred forty-two thousand, four hundred".