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6754720896 = 27347118461
BaseRepresentation
bin1100100101001110…
…01101110010000000
3122102202012101010000
412102213031302000
5102313202032041
63034133040000
7326250115560
oct62247156200
918382171100
106754720896
112956955870
121386186000
13838557291
1448114cda0
15298018bb6
hex1929cdc80

6754720896 has 320 divisors, whose sum is σ = 25065120960. Its totient is φ = 1754265600.

The previous prime is 6754720873. The next prime is 6754720939. The reversal of 6754720896 is 6980274576.

6754720896 is a `hidden beast` number, since 6 + 7 + 547 + 2 + 0 + 8 + 96 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 794106 + ... + 802566.

It is an arithmetic number, because the mean of its divisors is an integer number (78328503).

Almost surely, 26754720896 is an apocalyptic number.

6754720896 is a gapful number since it is divisible by the number (66) 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 6754720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532560480).

6754720896 is an abundant number, since it is smaller than the sum of its proper divisors (18310400064).

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

6754720896 is a wasteful number, since it uses less digits than its factorization.

6754720896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6754720896 is about 82187.1090621881. The cubic root of 6754720896 is about 1890.3220615188.

The spelling of 6754720896 in words is "six billion, seven hundred fifty-four million, seven hundred twenty thousand, eight hundred ninety-six".