6820054560 has 1152 divisors, whose sum is σ = 29889699840. Its totient is φ = 1393459200.

The previous prime is 6820054537. The next prime is 6820054583. The reversal of 6820054560 is 654500286.

It is an interprime number because it is at equal distance from previous prime (6820054537) and next prime (6820054583).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158605899 + ... + 158605941.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2^6820054560 is an apocalyptic number.

6820054560 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 6820054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944849920).

6820054560 is an abundant number, since it is smaller than the sum of its proper divisors (23069645280).

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

6820054560 is a wasteful number, since it uses less digits than its factorization.

6820054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6820054560 is about 82583.6216207548. The cubic root of 6820054560 is about 1896.3971021045.

It can be divided in two parts, 68200 and 54560, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 6820054560 in words is "six billion, eight hundred twenty million, fifty-four thousand, five hundred sixty".