214973740800 has 2592 divisors, whose sum is σ = 1033289420800. Its totient is φ = 43893964800.

The previous prime is 214973740781. The next prime is 214973740823. The reversal of 214973740800 is 8047379412.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6934636785 + ... + 6934636815.

Almost surely, 2^214973740800 is an apocalyptic number.

214973740800 is a gapful number since it is divisible by the number (20) 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 214973740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516644710400).

214973740800 is an abundant number, since it is smaller than the sum of its proper divisors (818315680000).

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

214973740800 is an equidigital number, since it uses as much as digits as its factorization.

214973740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 214973740800 in words is "two hundred fourteen billion, nine hundred seventy-three million, seven hundred forty thousand, eight hundred".