7066214400 has 672 divisors, whose sum is σ = 28083345408. Its totient is φ = 1533542400.

The previous prime is 7066214357. The next prime is 7066214401. The reversal of 7066214400 is 44126607.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7066214401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133324774 + ... + 133324826.

Almost surely, 2^7066214400 is an apocalyptic number.

7066214400 is a gapful number since it is divisible by the number (70) 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 7066214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14041672704).

7066214400 is an abundant number, since it is smaller than the sum of its proper divisors (21017131008).

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

7066214400 is a wasteful number, since it uses less digits than its factorization.

7066214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7066214400 is about 84060.7780121026. The cubic root of 7066214400 is about 1918.9438636009.

The spelling of 7066214400 in words is "seven billion, sixty-six million, two hundred fourteen thousand, four hundred".