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6680514960 = 243357371127
BaseRepresentation
bin1100011100011000…
…01001000110010000
3122020120120022201000
412032030021012100
5102140202434320
63022522342000
7324356304000
oct61614110620
918216508630
106680514960
112918a81849
12136535a900
13826075242
14475354000
1529175bc90
hex18e309190

6680514960 has 640 divisors, whose sum is σ = 27426816000. Its totient is φ = 1493614080.

The previous prime is 6680514947. The next prime is 6680514961. The reversal of 6680514960 is 694150866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6680514961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52602417 + ... + 52602543.

It is an arithmetic number, because the mean of its divisors is an integer number (42854400).

Almost surely, 26680514960 is an apocalyptic number.

6680514960 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 6680514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713408000).

6680514960 is an abundant number, since it is smaller than the sum of its proper divisors (20746301040).

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

6680514960 is a wasteful number, since it uses less digits than its factorization.

6680514960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6680514960 is about 81734.4172304422. The cubic root of 6680514960 is about 1883.3743307615.

The spelling of 6680514960 in words is "six billion, six hundred eighty million, five hundred fourteen thousand, nine hundred sixty".