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6704674560 = 2834564667
BaseRepresentation
bin1100011111010000…
…10011011100000000
3122022021000202110000
412033220103130000
5102212344041220
63025144240000
7325101536103
oct61750233400
918267022400
106704674560
112930683261
121371470000
1382b083a6c
1447864273a
15293930390
hex18fa13700

6704674560 has 180 divisors, whose sum is σ = 23990922648. Its totient is φ = 1787885568.

The previous prime is 6704674549. The next prime is 6704674573. The reversal of 6704674560 is 654764076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×67046745602 = 89905321911022387200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71347 + ... + 136013.

Almost surely, 26704674560 is an apocalyptic number.

6704674560 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 6704674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995461324).

6704674560 is an abundant number, since it is smaller than the sum of its proper divisors (17286248088).

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

6704674560 is an equidigital number, since it uses as much as digits as its factorization.

6704674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64700 (or 64677 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 6704674560 is about 81882.0771597790. The cubic root of 6704674560 is about 1885.6419618070.

The spelling of 6704674560 in words is "six billion, seven hundred four million, six hundred seventy-four thousand, five hundred sixty".