6220376064 has 288 divisors, whose sum is σ = 21103205760. Its totient is φ = 1727889408.

The previous prime is 6220376051. The next prime is 6220376117. The reversal of 6220376064 is 4606730226.

It is a happy number.

6220376064 is a `hidden beast` number, since 6 + 220 + 376 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 4773237 + ... + 4774539.

It is an arithmetic number, because the mean of its divisors is an integer number (73275020).

Almost surely, 2^6220376064 is an apocalyptic number.

6220376064 is a gapful number since it is divisible by the number (64) 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 6220376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551602880).

6220376064 is an abundant number, since it is smaller than the sum of its proper divisors (14882829696).

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

6220376064 is a wasteful number, since it uses less digits than its factorization.

6220376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6220376064 is about 78869.3607429400. The cubic root of 6220376064 is about 1839.1008587405.

The spelling of 6220376064 in words is "six billion, two hundred twenty million, three hundred seventy-six thousand, sixty-four".