7140214800 has 180 divisors, whose sum is σ = 25696601840. Its totient is φ = 1904031360.

The previous prime is 7140214771. The next prime is 7140214811. The reversal of 7140214800 is 84120417.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 60471 + ... + 133929.

Almost surely, 2^7140214800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7140214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848300920).

7140214800 is an abundant number, since it is smaller than the sum of its proper divisors (18556387040).

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

7140214800 is a wasteful number, since it uses less digits than its factorization.

7140214800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73492 (or 73469 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7140214800 is about 84499.7917157196. The cubic root of 7140214800 is about 1925.6192801488.

The spelling of 7140214800 in words is "seven billion, one hundred forty million, two hundred fourteen thousand, eight hundred".