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6420706880 = 2657171031637
BaseRepresentation
bin1011111101011010…
…00011011001000000
3121120110200201000112
411332231003121000
5101122200110010
62541042010452
7315053052020
oct57655033100
917513621015
106420706880
1127a535a125
1212b2346a28
137b42aa453
1444ca43a80
15278a3ba05
hex17eb43640

6420706880 has 224 divisors, whose sum is σ = 18692384256. Its totient is φ = 2050523136.

The previous prime is 6420706847. The next prime is 6420706883. The reversal of 6420706880 is 886070246.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (6420706883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3921422 + ... + 3923058.

It is an arithmetic number, because the mean of its divisors is an integer number (83448144).

Almost surely, 26420706880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6420706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9346192128).

6420706880 is an abundant number, since it is smaller than the sum of its proper divisors (12271677376).

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

6420706880 is a wasteful number, since it uses less digits than its factorization.

6420706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 6420706880 is about 80129.3134876370. The cubic root of 6420706880 is about 1858.6357282957.

The spelling of 6420706880 in words is "six billion, four hundred twenty million, seven hundred six thousand, eight hundred eighty".