6820070400 has 1320 divisors, whose sum is σ = 30958893504. Its totient is φ = 1459814400.

The previous prime is 6820070393. The next prime is 6820070417. The reversal of 6820070400 is 40700286.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 296524789 + ... + 296524811.

Almost surely, 2^6820070400 is an apocalyptic number.

6820070400 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 6820070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479446752).

6820070400 is an abundant number, since it is smaller than the sum of its proper divisors (24138823104).

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

6820070400 is a wasteful number, since it uses less digits than its factorization.

6820070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

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

The square root of 6820070400 is about 82583.7175234925. The cubic root of 6820070400 is about 1896.3985702700.

Adding to 6820070400 its reverse (40700286), we get a palindrome (6860770686).

The spelling of 6820070400 in words is "six billion, eight hundred twenty million, seventy thousand, four hundred".