6922540800 has 864 divisors, whose sum is σ = 29806425600. Its totient is φ = 1539440640.

The previous prime is 6922540783. The next prime is 6922540817. The reversal of 6922540800 is 80452296.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6922540783) and next prime (6922540817).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6922540800² = 95843142255329280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71366352 + ... + 71366448.

Almost surely, 2^6922540800 is an apocalyptic number.

6922540800 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 6922540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903212800).

6922540800 is an abundant number, since it is smaller than the sum of its proper divisors (22883884800).

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

6922540800 is a wasteful number, since it uses less digits than its factorization.

6922540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6922540800 is about 83201.8076726702. The cubic root of 6922540800 is about 1905.8490851935.

The spelling of 6922540800 in words is "six billion, nine hundred twenty-two million, five hundred forty thousand, eight hundred".